# Questions on Algebra: Percentage and Pie Charts answered by real tutors!

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Question 994681: Estimate the following percentages without using a calculator
0.99% of 83,583
20% of 5,008,340
0.52% of 472,028

Answer by Boreal(1464)   (Show Source):
You can put this solution on YOUR website!
The first one is 1% less than all of it.
If all is 83,583, 1% is two decimal places less, or 835.
Subtract that from 83,583 and you get 82718.
You probably can use 84,000-840 for this problem.
==============================
20% of anything is 1/5.
1.5 of 5 million is one million. That is a decent estimate.
==============================
The third one is about a half, and half of 472,028--use 470,000, and half of that is 235,000. This is an estimate, but it is a good one.

Question 994621: write an equation and solve (if you can put a chart please make it)

Tickets to the cinema cost $5 for children and$8 for adults. If the auditorium, which holds 350 people, was sold out for all three performances and the net income fro ticket sales was $7455, how many children and how many adults watched the cinema? Answer by josgarithmetic(13975) (Show Source): You can put this solution on YOUR website! x, child y, adult Elimination Method usually works well in these academic problems. Multiply the ticket count equation by 5, and use the result to eliminate x to first solve for y. Question 994620: write an equation and solve (if you can put a chart please make it) The retail price of suit was$719. It was reduced 33% and later an additional 67
%. What was the price after both reductions? What was the total percent reduction of the original retail price?

Answer by josgarithmetic(13975)   (Show Source):
You can put this solution on YOUR website!
"Additional 67%" should mean, based on the original price.

First reduction: .

Second reduction:

This gives a result of the second price being 0$. Free. Question 994336: write the appropriate equation and solve The Zimmerman know that they usually average 55 mi/hr when driving the 715 mi to visit their grandparents. They leave at 6 a.m. QUESTIONS: On the way home, the Zimmerman left at 10:00 a.m. and drove at an average of 50 mi/hr before stopping at a hotel for the night at 6:00 p.m. How many miles do they need to travel on the next day to get home? Found 2 solutions by MathTherapy, josgarithmetic: Answer by MathTherapy(4047) (Show Source): You can put this solution on YOUR website! write the appropriate equation and solve The Zimmerman know that they usually average 55 mi/hr when driving the 715 mi to visit their grandparents. They leave at 6 a.m. QUESTIONS: On the way home, the Zimmerman left at 10:00 a.m. and drove at an average of 50 mi/hr before stopping at a hotel for the night at 6:00 p.m. How many miles do they need to travel on the next day to get home? Distance: 715 miles Distance traveled on return trip: 400 (50 * 8) Distance remaining: 715 - 400, or miles  Answer by josgarithmetic(13975) (Show Source): You can put this solution on YOUR website! The Zimmerman's traveled for 8 hour on the way home. That distance was miles. Still remaining distance, miles. How much time to finish? t, this time in hours, Question 994165: How do I work out the problem 58% of 90 is what number? Answer by Alan3354(47455) (Show Source): You can put this solution on YOUR website! How do I work out the problem 58% of 90 is what number? ---------- % is per hundred 58% = 58/100 = 0.58 ------------ Multiply 0.58 by 90 Question 994090: The length and the breadth of a rectengle are increased by 12% and x% respectively,thereby the area of the rectengle increased by 40%. What is the value of x? Answer by stanbon(69061) (Show Source): You can put this solution on YOUR website! The length and the breadth of a rectengle are increased by 12% and x% respectively,thereby the area of the rectengle increased by 40%. What is the value of x? ----- Original DATA: length = L ; Breadth = B ; Area = LB? ---- New Area Equation: 1.12L * (1+x/100)B = 0.40LB ---- 1.12(1+x/100) = 0.4 1+(x/100) = 1.25 x/100 = 0.25 x = 25 --------- Cheers, Stan H. Question 993579: write an equation and solve A car leaves Centralia for Chicago at the same time a passenger train leaves Chicago for Centralia. The freight train travels at a speed of 45 mi/hr, and the passenger train travels at a speed of 64 mi/hr. If Chicago and Centralia are 218 mi apart, how long will it take for the trains to meet? Answer by josgarithmetic(13975) (Show Source): You can put this solution on YOUR website! You are looking for the sum of the distances traveled is equal to 218 mile distance between the two cities. RT=D relates speed, time, and distance. (Do you need more?) Question 993580: write an equation and solve Frank runs two-thirds as fast as Ted. In two hour Ted runs 8 mi farther than Ted. how fast does he run? Answer by josgarithmetic(13975) (Show Source): You can put this solution on YOUR website! Person Rate Time Distance FRANK (2/3)r 2 TED r 2 EQUATION:  SOLVE Question 993422: What is 20% of 80 Answer by josmiceli(13716) (Show Source): Question 993377: 80% from 586= Answer by ikleyn(988) (Show Source): You can put this solution on YOUR website! . 80% of 586 = Question 992613: 44% of 860? Answer by macston(4006) (Show Source): You can put this solution on YOUR website! . (0.44)(860)=378.40 . ANSWER: 378.40 Question 992431: write an equation and solve An investor has$7500 invested at one rate and $6200 invested at a different rate. If the second investment is at a rate 2% lower than the first, find the rate for each investment if his combined annual interest income is$698.

Answer by Theo(5548)   (Show Source):
You can put this solution on YOUR website!
rate is equal to percent / 100.
2% is therefore equal to a rate of .02.

x is the rate that 7500 is invested at.
x - .02 is the rate that 6200 is invested at.

7500 * x + 6200 * (x-.02) = 698

simplify to get:

7500 * x + 6200 * x - .02 * 6200 = 698

simplify further to get:

(7500 + 6200) * x - 124 = 698

subtract 124 from both sides of the equation and simplify further to get:

13700 * x = 822.

divide both sides of the equation by 13700 to get:

x = 822 / 13700 = .06

x - .02 = .06 - .02 = .04

7500 was invested at 6% and 6200 was invested at 4%.

7500 * .06 + 6200 * .04 = 450 + 248 = 698.

your solution is that the rate for 7500 is 6% and the rate for 6200 is 4%.

Question 992436: write an equation and solve.
A clothing retailer marks up his merchandise at a rate of 150% so that he can regularly offer a 25% off sale. If the retail price of a sweater is $60, determine the retailer's cost and the sale price. Answer by Theo(5548) (Show Source): You can put this solution on YOUR website! r = retail price c = cost s = sale price m = markup rate = 150% / 100 = 1.5 d = discount rate = 25% / 100 = .25 the retail price is equal to the cost plus the markup rate * the cost. equation is: r = c + m * c since m = 1.5, then: r = c + 1.5 * c the sale price is equal to the retail price minus the discount rate * the retail price. equation is: s = r - d * r since d = .25, then: s = r - .25 * r the two equations are: r = c + 1.5 * c s = r - .25 * r you are given that r is equal to 60. the equations become: 60 = c + 1.5 * c s = 60 - .25 * 60 the second equation can be solved as is: you get: s = 60 - .25 * 60 which becomes: s = 60 - 15 which becomes: s = 45. the sale price of the sweater is 45 dollars. the first equation requires a little manipulation, but can also be solved as is: the first equation is: 60 = c + 1.5 * c combine like terms on the right side of the equation to get: 60 = 2.5 * c divide both sides of the equation by 2.5 to get: 60 / 2.5 = c solve for c to get: c = 24 dollars. the cost of the sweater is 24 dollars. you now have: the cost of the sweater is 24 dollars. the sale price of the sweater is 45 dollars. the retail price of the sweater is 60 dollars. that's your solution. below is a little extra information. the gross profit is equal to the sale price minus the cost which is equal to 45 minus 24 = 21 dollars. the gross profit margin is equal to the gross profit divided by the cost which is equal to 21 / 24 = .875 * 100 = 87.5%. Question 992249: write an equation and solve Using litmus paper, Georgia recorded the pH of a solution as 7.6. The pH meter gave a reading of 7.3. Find the percent difference of these two measurements. Answer by farohw(153) (Show Source): You can put this solution on YOUR website! % difference = the value difference/mean or average of values = = 0.04027 or 4.027% Question 992317: Your weekly paycheck is 25 percent less than your coworker's. Your two paychecks total 820 . Find the amount of each paycheck. Your coworker's is : and yours is . Given your answers to the nearest cent Answer by solver91311(20879) (Show Source): You can put this solution on YOUR website! Let be the high paid guy and then is the lower paid guy. The sum of these two expressions is 820. Solve for John My calculator said it, I believe it, that settles it Question 992320: A rectangular room is 4.15 meters longer than it is wide, and its perimeter is 27.9 meters. Find the dimensions of the room. The length is : meters and the width is meters. Answer by MathLover1(11324) (Show Source): You can put this solution on YOUR website! let the length of the room be and the width if a rectangular room is longer than it is wide,we have .....eq.1 and if its perimeter is we have ......eq.2....substitute for ...solve for go back to eq.1, substitute for and solve for .....eq.1 so, the dimensions of the room are and Question 992242: write an equation and solve Each member of a math class was assigned the task of experimentally determining the value of (pie) by measuring the circumference and diameter of a circular object and calculating the ration c/d to two decimal places. Find the percent error of a student answer of 3.10 Answer by Timnewman(249) (Show Source): You can put this solution on YOUR website! percenyage errow= =(0.04/3.14)*100 =4/3.14 =1.27% Question 992376: If the shoes are regular price 117 dollars and has a 50% off how much will it be? Answer by solver91311(20879) (Show Source): You can put this solution on YOUR website! 50% is half. John My calculator said it, I believe it, that settles it Question 992325: A 336 in. long pipe is cut into three pieces such that the second piece is seventeen in. more than the first piece, and the third piece is twelve in. more than nine times the second piece. A) Letting x be the length of the first piece, write an equation that equates the given total length of the board to the sum of the lengths of the three pieces as described in the problem. Make sure your equation models the situation exactly, i.e. do not write a simplified version of the equation. + + = 336 1st piece 2nd piece 3rd piece B) Simplify the left side of your equation: = 336 C) Solve your equation to find lengths of each of the three pieces: The first piece measures in, the second piece measures in, and the third piece measures in. Answer by solver91311(20879) (Show Source): You can put this solution on YOUR website! Let represent the measure of the second piece. Then represents the measure of the first piece, and is the measure of the third piece. Add 'em up and set them equal to 336. John My calculator said it, I believe it, that settles it Question 992321: the sum of three consecutive natural numbers is 963, find the numbers. (A) First, write out an equation that models the relationship between these three numbers: x + + = 963 2nd number 3rd number (B) Now, simplify the left side of your equation: = 963 (C) Solve your equation and identify the three numbers: The three numbers in increasing order are , and . Found 2 solutions by ikleyn, Timnewman: Answer by ikleyn(988) (Show Source): You can put this solution on YOUR website! . 1. First way to solve it: Let x be the first of the three numbers. Then the second and the third are (x+1) and (x+2), respectively. Your equation is x + (x+1) + (x+2) = 963. 3x + 3 = 963, 3x = 963 - 3 = 960, x = = 320. Thus the first number is 320, the second is 321, and the third is 322. Please check yourself that the tree numbers satisfy the condition. 2. Second way to solve it: Let x be the second number. Then the first and the third numbers are (x-1) and (x+1), respectively. And your equation is (x-1) + x + (x+1) = 963, 3x = 963, x = = 321, and so on . . . Good luck! Answer by Timnewman(249) (Show Source): You can put this solution on YOUR website! i have answered this question before! Question 992324: The sum of three consecutive natural numbers is 963, find the numbers. (A) First, write out an equation that models the relationship between these three numbers: x + + = 963 2nd number 3rd number (B) Now, simplify the left side of your equation: = 963 (C) Solve your equation and identify the three numbers: The three numbers in increasing order are , and . Answer by Timnewman(249) (Show Source): You can put this solution on YOUR website! Hello dear, Do not post question that you know it's solution,rather post the one that looks a bit technical to you. incase you do not know this one,follow the steps below. Let the three consecutive nembers be x,x+1,x+2. From your question, x+x+1+x+2=963 3x+3=963 3x=963-3 3x=960 x=320. The number's are 320,321,322 Was this helpfull? Question 992367: The price of a Latte dropped from$3.12 to $2.89 whats the percentage of decrease The cost of Gasoline rose from$2.89 to $3.12 whats the percentage of increase Found 2 solutions by Edwin McCravy, ikleyn: Answer by Edwin McCravy(13211) (Show Source): You can put this solution on YOUR website!  The price of a Latte dropped from$3.12 to $2.89 whats the percentage of decrease The cost of Gasoline rose from$2.89 to $3.12 whats the percentage of increase Edwin Answer by ikleyn(988) (Show Source): You can put this solution on YOUR website! . The price of a Latte dropped from$3.12 to $2.89. What is the percentage of decrease? The cost of Gasoline rose from$2.89 to $3.12. What is the percentage of increase? ------------------------------------------------------------------ 1. The price of a Latte dropped from$3.12  to  $2.89. What is the percentage of decrease? It is = . . . Calculate it yourself please. 2. The cost of Gasoline rose from$2.89  to  $3.12. What is the percentage of increase? It is = . . . Calculate it yourself please. Question 992327: A 336 in. long pipe is cut into three pieces such that the second piece is seventeen in. more than the first piece, and the third piece is twelve in. more than nine times the second piece. A) Letting x be the length of the first piece, write an equation that equates the given total length of the board to the sum of the lengths of the three pieces as described in the problem. Make sure your equation models the situation exactly, i.e. do not write a simplified version of the equation. + + = 336 1st piece 2nd piece 3rd piece B) Simplify the left side of your equation: = 336 C) Solve your equation to find lengths of each of the three pieces: The first piece measures in, the second piece measures in, and the third piece measures in. Answer by josgarithmetic(13975) (Show Source): You can put this solution on YOUR website! x, the length of the first piece; 17+x, the second piece; 12+9(x+17), the third piece; Question 992328: A bag is filled with green and blue marbles. There are 48 marbles in the bag. If there are 38 more green marbles than blue marbles, find the number of green marbles and the number of blue marbles in the bag. Find the solution by setting up an equation. You have two choices for how you will pick your variable. For each of the following variable choices, write an equation (just set up the equation, do not solve it yet) that describes the relationship between the number of green marbles, the number of blue marbles, and the total number of marbles in the bag: If x = number of green marbles in the bag, my equation is = 48 If x = number of blue marbles in the bag, my equation is = 48 Now, solve one of your equations to determine the number of green and number of blue marbles: There are green marbles and blue marbles. Answer by stanbon(69061) (Show Source): You can put this solution on YOUR website! A bag is filled with green and blue marbles. There are 48 marbles in the bag. If there are 38 more green marbles than blue marbles, find the number of green marbles and the number of blue marbles in the bag. ------ Equations: g + b = 48 marbles g = b + 38 ------ Substitute for "g" and solve for "b":: b+38 + b = 48 2b = 10 b = 5 (# of blue marbles) g = b+38 = 43 (# of green marbles) ------------- Cheers, Stan H. ---------- Question 992329: Sam is 21 years younger than Angela. 10 years ago, Angela's age was 2 times Sam's age. How old is Sam now? A) Translate the given information into an equation using the variable x = current age of Sam. Your equation should tell the story of the problem to someone reading it. That means your equation should contain 21, 10, and 2. Since you will be comparing the ages of Sam and Angela 10 years ago, 10 should appear once on each side of the equation. Do not simplify your equation. B) How old is Sam currently? Sam is years old. Answer by stanbon(69061) (Show Source): You can put this solution on YOUR website! Sam is 21 years younger than Angela. 10 years ago, Angela's age was 2 times Sam's age. How old is Sam now? ----- S = A -21 A-10 = 2(S-10) ----- Substitute for "S" and solve for "A":: A - 10 = 2(A-21-10) A - 10 = 2(A-31) A - 10 = 2A - 62 -- A = 52 yrs (Angela's age now) S = A-21 = 31 yrs (Sam's age now) ----- Cheers, Stan H. ------ Question 992319: Brayden is 94 years old. Erin is 34 years old. How many years ago was Brayden's age 5 times Erin's age? (A) Translate the given information into an equation using the variable x = how many years ago Brayden's age was 5 times Erin's age. Your equation should contain 94, 34, and 5. Do not simplify your equation. (B) Brayden's age was 5 times Erin's age years ago. Answer by Theo(5548) (Show Source): You can put this solution on YOUR website! Brayden = 94 Erin = 34 x = number of years ago. 94 - x = 5 * (34 - x) simplify to get 94 - x = 170 - 5x subtract 94 from both sides of the equation and add 5x to both sides of the equation to get: -x + 5x = 170 - 94 combine like terms to get: 4x = 76 divide both sides of the equation by 76 to get x = 19 Brayden was 5 * the age of Erin 19 years ago. 94 - 19 = 75 34 - 19 = 15 75 is equal to 5 * 15. solution is confirmed. x = 19 Question 992281: Find both experimental error and the percent error. QUESTION: experimental value: 2.4 ; known value: 2.5 Answer by Theo(5548) (Show Source): You can put this solution on YOUR website! here's a reference that discusses absolute error and relative error. http://www.regentsprep.org/regents/math/algebra/am3/LError.htm not sure if you're dealing with absolute error. that is the absolute value of the error. it doesn't really tell you if you were below or above the desired measurement. if that's a consideration, then you would need to indicate the direction of the error as well. your experimental value is 2.4 and your known value is 2.5. the absolute value of the difference is |2.4 - 2.5| = |-.1| = .1 the relative difference is the absolute value of the difference divided by the known value. this would be .1 / 2.5 = .04 * 100 = 4%. so you're talking an absolute difference of .1 and a relative difference of 4%. if the direction of the difference is important, then you would need to say that the absolute difference is .1 below the known value and the relative difference is 4% of the known value. Question 992318: Your weekly paycheck is 25 percent less than your coworker's. Your two paychecks total 820 . Find the amount of each paycheck. Your coworker's is : and yours is . Given your answers to the nearest cent Answer by josmiceli(13716) (Show Source): You can put this solution on YOUR website! Let = amount of your co-worker's check = amount of your check -------------- and ----------------- co-worker's check:$468.57
Your check: $351.43 ------------------- Check: OK Question 992250: write an equation and solve If a number x is increased by 400%, is the new number 4x? Explain. Answer by Theo(5548) (Show Source): You can put this solution on YOUR website! the increase is 400%. that means the increase is 4x. that has to be added to the original price to get a total new price of of 5x. x + 4x = 5x. Question 992280: Solve The butcher sells 80% lean ground beef at$2.80/lb, 90% lean ground beef at $3.00/lb, and 95% lean ground beef at$ 3.25/lb. What is the cost per pound of the totally lean percentage of the beef in each case?

Answer by josgarithmetic(13975)   (Show Source):
You can put this solution on YOUR website!
These are three points for the relation:
(80,2.8),(90,3.0),(95,3.25). The coordinates are percent lean, price per pound.

Check the two neighboring slopes to find if the points fit a line.
,
,
.
-
The slopes are different, so a line will not be a fit.

You are free to pick another function shape to try to extrapolate what the price could be for 100% lean beef. You can plot the points and try to judge visually if you like.

Also notice that the slopes seem to be getting bigger as percent leanness increases. I did not finish this; the question is at least a bit open-ended.

Question 992278: The American Council on Exercise categorizes men's fitness levels according to their percent body fat in the following way.
CATEGORY NAME PERCENT BODY FAT
Essential Fat 2-5%
Athletes 6-13%
Fitness 14-17%
Acceptable 18-25%
Obesity 26% or more

QUESTION:
The exercise physiologist determines that Enrique, who weighs 164 lb, has 20 lb of body fat. Determine his percentage of body fat and the category in which he falls.

Answer by macston(4006)   (Show Source):
You can put this solution on YOUR website!
.
(20lbs fat/ 164 lbs total)(100%)=12.2% body fat

Question 992258: The USDA recommends that a healthy adult consume 10%-35% of his calories from protein, 20%-35% from fat, and 45%-65%vfrom carbohydrates. Find the distribution for each of the following people and state whether each one is eating a healthy diet based on these recommendations.
QUESTION:
Kara eats a diet of 160 calories from protein, 440 calories from fat, and 1400 calories from carbohydrates.

Answer by macston(4006)   (Show Source):
You can put this solution on YOUR website!
.
Kara eats: 160 cal + 440 cal + 1400 cal = 2000 cal
.
Protein: (160cal/2000cal)(100%)=8% (Recommended:10%-35%)
Fat: (440cal/2000cal)(100%)=22% (Recommended:20%-35%)
Carbohydrates: (1400cal/2000cal)(100%)=70% (Recommended:45%-65%)
.
This is not a healthy diet. Only the fat percentage is in range.

Question 992265: The USDA recommends that a healthy adult consume 10%-35% of his calories from protein, 20%-35% from fat, and 45%-65% from carbohydrates. Find the distribution for each of the following people and state whether each one is eating a healthy diet based on these recommendations.
QUESTION:
Lea eats a diet of 160 calories from protein, 440 calories from fat, and 1400 calories from carbohydrates.

Answer by macston(4006)   (Show Source):
You can put this solution on YOUR website!
.
Lea eats: 160 cal + 440 cal + 1400 cal = 2000 cal
.
Protein: (160cal/2000cal)(100%)=8% (Recommended:10%-35%)
Fat: (440cal/2000cal)(100%)=22% (Recommended:20%-35%)
Carbohydrates: (1400cal/2000cal)(100%)=70% (Recommended:45%-65%)
.
This is not a healthy diet. Only the fat percentage is in range.

Question 992251: write an equation and solve
If the attendance at the second game increased 50% from the first game and the third game's attendance increased 50% from the second game, what is the percent increase from the first game to the third game?

Answer by josmiceli(13716)   (Show Source):
You can put this solution on YOUR website!
Let = attendance of the 1st game
= attendance of the 2nd game
= attendance of the 3rd game
-------------------

The % increase from 1st to 3rd game is 225%

Question 992149: Find the original price of a pair of shoes if the sale price is $13 after a 75% discount. What is the pair of shoes original price Answer by MathLover1(11324) (Show Source): You can put this solution on YOUR website! the original price of a pair of shoes if the sale price is$ after a % discount:

so, the original price of a pair of shoes is $check: the original price:$
discount:$sale price:$

Question 991722: Tyler paid $117.15, including a 6.5% sales tax, for a car battery. How much did the battery itself cost? Answer by macston(4006) (Show Source): You can put this solution on YOUR website! . . ANSWER: The battery itself cost$110

Question 991718: If joe wins 18 of 30 games against mike. How many games in a row would joe have to win to have a 75% winning record
Answer by stanbon(69061)   (Show Source):
You can put this solution on YOUR website!
If joe wins 18 of 30 games against mike. How many games in a row would joe have to win to have a 75% winning record
------
Solve::
Let the number of wins he needs be "x"::
(18+x)/(30+x) = 3/4
-----
4(18+x) = 3(30+x)
72+4x = 90+3x
x = 18 (# he would have to win)
-----------------
Proof (18+18)/(30+18) = 36/48 = 3/4 = 0.75
Cheers,
Stan H.

Question 991468: Not sure how to set up this problem?
Carry has 28.80 less than 2 times as much money as Joe. Joe has 4/5 as much as Carry.

Found 2 solutions by macston, Alan3354:
Answer by macston(4006)   (Show Source):
You can put this solution on YOUR website!
.
C=amount Carry has; J=amount Joe has
.
C=2J-28.80
.
J=(4/5)C
(5/4)J=C
.
(5/4)J=2J-28.80
-0.75J=-28.80
J=38.40 ANSWER 1: Joe has 38.40
.
C=(5/4)J=(5/4)(38.40)=48.00 ANSWER 2: Carry has 48.00
.
CHECK:
C=2J-28.80
48.00=2(38.40)-28.80
48.00=76.80-28.80
48.00=48.00

Answer by Alan3354(47455)   (Show Source):
You can put this solution on YOUR website!
How is that a problem?

Question 991388: IF SOMETHING I WANTED COSTED 229.97 PLUS TAX AND I GET A 10% DISCOUNT HOW MUCH WILL EVERYTHING BE IN TOTAL?
Answer by macston(4006)   (Show Source):
You can put this solution on YOUR website!
.
(0.90)(229.97)=206.97
ANSWER: 206.97 plus tax (tax rate not given)

Question 991293: how do i decrease £40 by 15 percent
Answer by Theo(5548)   (Show Source):
You can put this solution on YOUR website!
40 - .15 * 40 = 40 * (1-.15) = 40 * .85 = 34

15 percent of 40 is equal to .15 * 40 which is equal to 6.

40 - 6 = 34.

Question 991146: If 12 out of 21 students in class are girls then to the nearest percent what percent of the class is composed of girls
Answer by josmiceli(13716)   (Show Source):
You can put this solution on YOUR website!
The FRACTION that are girls is:

The PERCENT that are girls is:

57% to the nearest %