Questions on Word Problems: Linear Equations And Systems Word Problems answered by real tutors!

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Question 163719: a truck radiator holds 36L of fluid. How much pure antifreeze must be added to a mixture that is 4% antifreeze to fill the radiator with a mixture that is 20% antifreeze?
Click here to see answer by gonzo(654)

Question 163817: An investor will invest a total of $15000 in two accounts, one paying 4% annual simple interest and the other 3%. If he wants to earn $550 annual interest, how much should he invest at each rate?
Click here to see answer by SAT Math Tutor(36)

Question 163828: Tara sells packets of nasturtium seeds for $0.95 each and packets of Johnny-jump-up seeds for $1.43 each. She decides to offer a 16-packet spring-garden combination packets of each type of seed should be put in her garden mix?
Click here to see answer by Fombitz(13828)

Question 163827: "Systems of Inequalities, Substitution and/or Elimination Method"
White River Gardens in Indianapolis, IN, presents a yearly butterfly exhibit. Pupae from Kenya, Tanzania, Costa Rica, and Florida are delivered semi-weekly. They are stored on rods in a glass case inside a green house until the metamorphosis takes place. As part of a recent order, White River Gardens received 63 pupae - morpho grandensis at $4.15 per pupa and battus polydamus at $1.50 per pupa. The total cost of the two species was $147.50. How many pupae of each species did the exhibit receive?

Click here to see answer by jojo14344(1512)

Question 163816: I am asking for help with this. I am having trouble with it.
3. The points (3, 9), (5, 13), (15, 33), (34, 71), (678, 1359), and (1234, 2471) all lie on line M.
The points (3, -9), (5, -11), (15, -21), (34, -40), (678, -684), and (1234, -1240) all lie on line N.
a. Form the equations of both the lines. Show your work.
b. What are the co-ordinates of the point of intersection of lines M and N?
c. Write the co-ordinates of the intersections of lines M and N with the x-axis.
d. Write the co-ordinates of the intersection of lines M and N with the y-axis.

Click here to see answer by scott8148(6628)

Question 163832: Systems of Inequalities
Tara’s website, Garden Edibles, specializes in the sale of herbs and flowers for colorful meals and garnishes. Tara sells packets of nasturtium seeds for $0.95 each and packets of Johnny-jumpup seeds for $1.43 each. She decides to offer a 16-packet spring-garden combination,combining packets of both types of seeds at $1.10 per packet. How many packets of each type of seed should be put in her garden mix?
Click here to see answer by ankor@dixie-net.com(15622)

Question 163847: The Coffee Counter charges $9.00 per pound for Kenyan French Roast coffee and $8.00 per pound for Sumatran coffee. How much of each type should be used to make a 20-lb blend that sells for $8.40 per pound?
Click here to see answer by kennedysj(5)

Question 163722: How many onces of 5% Hydrochloric acid, 20% hydro. acid, and water must be combined to get 10 oz of solution that is 8.5% hydro. acid if the amount of water used must equal the total amount of the other two solutions?
Click here to see answer by ankor@dixie-net.com(15622)

Question 163870: A rectangular parking lot has a length that is 3 yards greater than the width. The area of the parking lot is 270 square yards. Find the length and width.
Click here to see answer by Fombitz(13828)

Question 163820: The measure of the largest angle of a triangle is 12 degree less than the sum of the measure of the other two. The smallest angle measures 58 degrees less than the largest. Find the measures of the angles.
Click here to see answer by ankor@dixie-net.com(15622)

Question 163419: if a+b+c+d=2001 and b+d=2002, what is the value of a-b+c-d?
Click here to see answer by orca(409)

Question 163938: The total points that a basketball team scored was 96. If there were two and a half times as many field goals as free throws, how many of each were there? (Field goals count 2 points and free throws 1 point. There are no 3 point field goals.)
Click here to see answer by stanbon(57203)

Question 163980: Kerry asked a bank teller to cash a $390 check using $20 and $50 dollar bills. If the teller gave her a total of 15 bills, how many of each type of bill did she recieve?
I don't even know where to start on this problem, please help me.
Click here to see answer by Alan3354(30925)

Question 164018: Three kinds of tickets are available for the First day concert:Front, middle, and rear. Front tickets cost $10 more than the middle tickets, while middle ticksts cost $10 more than rear tickets.Twice the cost of a front ticket is $20 more than 3 times the cost of a rear ticket. Find the price of each kind of ticket.

Click here to see answer by stanbon(57203)

Question 164026: A rock is thrown from the top of a buliding. The distance, in feet, between the rock and the ground t seconds after it is thrown is given by D=-16t^2-4t+400. How long after the rock is thrown is it 370 feet from the groun? show work thanks
Click here to see answer by stanbon(57203)

Question 164042: Problem: The revenue, R, of an electronics manufacturer for selling x handheld organizers is given by R=0.25x^2-100x. The revenue of a competing manufacturer for selling similar products is R=75x.
Under what circumstances will both manufacturers have the same revenue?

Click here to see answer by nerdybill(6948)

Question 164049: ticket prices at concert were $10 for adults, $7 for seniors, and $5 for children. there were twice as many children as adults and 3 more seniors than adults. if the total receipts for the concert were $1236, how many children were in attendance?
Click here to see answer by nerdybill(6948)

Question 164093: "The members of a traveling club plan to share equally the cost of a $150,000 motorhome. If they can find 10 more people to join and share the cost, then
the cost per person will decrease by $1250. How many members are there originally in the club?"
I just want help writing the equation. I can do the work. I just am no good at writing them. Thanks KC
Click here to see answer by scott8148(6628)

Question 164019: An office supply store sells three models of computer desk: A, B, and C. In January, the store sold a total of 85 computer desks. The number of model B desks was five more than the number of model C desks, and the number of model A desks was four more than twice the number of model C desks. How many of each model did the store sell in January?
Click here to see answer by aka042(26)

Question 164334: Celeste wants to get her hair cut and permed and also go to lunch. She will need $68. The perm costs twice as much as her hair cut and she needs $5 for lunch. How much was the perm?
$68 - $5 = $63
& we know perm = 2x
??
Click here to see answer by scott8148(6628)

Question 164340: The ratio of men and women in a certain factory is 3 to 4. There are 204 men. How many workers are there?
3 + 4= 7
204/7= 29.14 ??????
Click here to see answer by Alan3354(30925)

Question 164337: The perimeter of a rectangle is twice the sum of its length/width. The perimeter is 28 meters and length is 2 meters more than twice the width. WHat is the length?

Click here to see answer by padmameesala(42)

Question 164682: Dave and Sandy fly from Philly to Chicago, it takes 2 hours to go west and 1 and a half hours to fly east. The trip is 780 one way. If the wind speed is the same on each trip, find the speed of the wind and find the speed of the plane in the still air.
Click here to see answer by gonzo(654)

Question 164723: World grain demand. Freeprt McMoRan projects that in 2010 world grain supply will be 1.8 trillion metric tons and the supply will be only 3/4 of the world grain dmand. What will world grain demand be in 2010?
Click here to see answer by josmiceli(9645)

Question 164749: Joe has a collection of nickels and dimes that is worth $5.65. If the number of dimes were doubled and the number of nickels were increased by 8, the value of the coins would be $10.45. How many dimes did he have?
d=dimes, n=nickels
equation #1 n+d=$5.65
equation #2 5(n+8)+2(10d)=$10.45 Please help me solve.

Click here to see answer by ankor@dixie-net.com(15622)

Question 164769: The sum of two numbers is 9. One number is 3 less than twice the other. Find the two numbers.
Click here to see answer by josmiceli(9645)

Question 165155: the cost of a rental car is $24.00 per day plus .10 cents a mile. Write a linear equation to decribe the cost of renting a car for one day in terms of the number of miles driven. Let y be the cost and x be the miles driven.
Click here to see answer by stanbon(57203)

Question 165221: Please help with this.
Judy averaged 42 miles per hour(mph) driving from Allentown to Harrisburg and 51 mph driving from Harrisburg to Pittsburg. If she drove a total of 288 miles in 6 hours, then how long did it take her to drive from Harrisburg to Pittsburg?
I set this up a 2 equations using a chart as: Distance Speed Time
Allentown to Harrisburg x 42 42x
Harrisburg to Pittsburg y 51 51y
Allentown to Pittsburg 288 288/6=48 6

Now x + y = 288
42x + 51y = 6 by substitition using y = 288 - x

42x + 51(288-x) = 6
42x + 14,688 -51x = 6
-9x = -14,682 and x = 1631.33
It works out when you plug back in, but can't be true since there is a total of only 288 miles. The y then is a negative number which satisfies the equation. Pleas help. Thanks Claudia
TheISBN shows: ISBN-13: 978-0-07-326862-0
ISBN-10: 0-07-326862-3
Part of
ISBN-13: 978-0-07-326938-2
ISBN-10: 0-07-326938-7
Click here to see answer by scott8148(6628)

Question 165274: 1. what is the approximate weight of oil in a container 3 feet high and 9 inches in diameter? (oil weighs approximately 55 pounds per cubic foot).
2. find the area of a rectange which measures 12 feet, 3 inches by 3 feet, 9 inches. The correct answer expressed in square feet is?
3.the diameter of a circle is 6 feet, 3 inches. what is the circumference of the circle? NOTE: to convert decimal fractions to inches in this problem, multiply by 12.
Click here to see answer by nerdybill(6948)

Question 165422: "a square piece of land is enclosed with fencing and then divided in half by additional fencing parallel to two of the sides. If 125m of fencing are used, what is the length of one side of the piece."
Would I be correct if I used the following equation:
125m / 5 sides = 25m/side
Therefore, the length of one side is 25m.
Click here to see answer by Mathtut(3670)

Question 165424: "If 2/3 of a number is added to the number, the result is 110. Find the numbers"
My solution:
2/3 = 67%
110 x 67% = 73.7
110 - 73.7 = 36.3
or
110 / 3 = 36.67
Therefore 2/3 would be 73.34 + 36. 67 = 110
Would both be correct, or neither?
Thank you very much in advance. The tutors are very much appreciated for their time and knowledge!
Click here to see answer by Mathtut(3670)

Question 165471: a group rental a cabin for 300$ for weekend if one more person goes alonge the price per person is reduces by 10$ how many people are in the original group
Click here to see answer by MRperkins(300)

Question 165642: "How much water must be evaporated for 120kg of solution which is 3% salt to make a solution of 5% salt?"
Please correct me if I'm wrong:
Let x = amount of water to be evaporated
0.03(120) - 0(x) = 0.05(120-x)
3.6 = 6 - 0.05x
0.05x = 6 - 3.6
x = 2.4 / 0.05
x = 48L
Thank you
Click here to see answer by edjones(7569)

Question 165816: Can You Help me?
132.) Top bond fund. An investment of $10,000 in the Emerging Country Debt Fund in 2001 was worth $24,780 in 2006 (www.money.com) Use the formula :
r=(s/p)^1/n - 1 to find the 5 - year average annual return.
R is determined by the initial investment P, the number of years n, and the amounts S that it is worth after n years.
P = 10,000

n = 2006 - 2001 = 5 years

s = 24,780

We are searching for the value of r.

Here is the formula:

r = (24,780/10,000)^1/6 - 1
Click here to see answer by stanbon(57203)

Question 165826: I sent this problem several days ago with no response. The level of thorium in a sample decreases by a factor one-half every 4.2million years A meteorite is discovered to have only 7.6% of its original thorium remaining. How old is the meteorite?
Click here to see answer by ankor@dixie-net.com(15622)

Question 165701: Find the three consecutive odd integers such that the product of the first and third integers is 4 less than the square of the second integer.
Click here to see answer by ankor@dixie-net.com(15622)

Question 166079: A vendor at the county fair wishes to spend $312 on his milkshake booth and has a goal of earning $1410. He figures he can make a small shake for $0.45 and a large shake for $0.75. He plans to sell a small shake for $2.25 and a large shake for $3.00. Write and solve a system of equations to determine how many of each size shake he will need to make and sell in order to reach his goal.
Okay my teacher is a crazy lunatic and thinks i am super smart by giving me a super hard question, and i struggle with math in the first place. I understand that i need to find the x and y varibles but im not sure where to begin. theres the amount of money he needs to make a shake and then the amount that hes going to sell them for. am i correct?.... oh and this isnt in my book. he just makes them up randomly.

Click here to see answer by elima4(15)

Question 166464: The number of students in a history class is three less than twice the number of students in a computer class. If the number of students in the computer class is c, how many students are in the history class?
Click here to see answer by oscargut(891)

Question 166716: A high school sold gift wrap. The gift wrap in solid colors sold for $4.00 per roll and the print gift wrap sold for $6.00 per roll. The total amount of rolls sold was 480, and the total amount of money collected was $2,340.00. How many rolls of each kind of gift wrap was sold?
Click here to see answer by nerdybill(6948)

Question 166724: Charlie owns a coffee shop. He wants to create special mixes using 2 coffees,one priced at $6.40 per pound and the other priced at $7.28 per pound. How many pounds of the $7.28 coffee should he mix with 9 pounds of the $6.40 coffee to sell the mixture for $6.95 per pound?
Click here to see answer by nerdybill(6948)

Question 166879: A toy rocket is shot vertically upward from the ground. Its distance in feet from the ground in t seconds is given by s(t)=-16(t^2)+142t. At what time(s) will the ball be 172 ft from the ground?
Click here to see answer by nerdybill(6948)

Question 167011: 88. Perimeter of a rectangle. The perimeter of a rectangular
backyard is 6x+6 yards. If the width is x yards, find a
binomial that represents the length.
Click here to see answer by jojo14344(1512)

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