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

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Question 51876: the total value of the pennies and nickels was $14.50. hala counted the coins and found there was 450 in totalin all. how many of each type of coin did she have.
Click here to see answer by tutorcecilia(2152)

Question 52162: Find two numbers such that four less than twice the first number is two more than the second number, and the sum of the two numbers is nine. What are the two numbers. Solve and show all work.
Click here to see answer by checkley71(8403)

Question 52591: How many quarts of a pure solution must be added to a 5% solution to get 4 quarts of a 14.5% solution?
Find equation(s) and solve.
Not out of text book!
Click here to see answer by ankor@dixie-net.com(15746)

Question 52585: How many liters of a 40% acid solution and a 55% acid solution must be mixed to produce 60 liters of a 45% acid solution?
Write 2 equations and solve using substitution or elimination?
Not out of a text book!
Click here to see answer by checkley71(8403)

Question 52688: A metallurgist has one alloy cantaining 20% copper and another containing 70% copper. How many pounds of each alloy must he use to make 50 pounds of a third alloy containing 50% copper?
Find the equation(s) and solve.
Click here to see answer by funmath(2925)

Question 52817: This problem makes sense to me in that it deals with a ratio of nuts to bolts. However, I can't see where you can get a definitive number of bolts out of the equation, and also whether or not you should answer once the 15 nuts have been added to the box or prior to this occurance. Maybe that doesn't matter anyway. Thanks for your help:
There are bolts and nuts in a box. The number of bolts are 88 times as many as nuts. If 15 more nuts are put in the box, there will be only 64 times as many bolts as nuts. How many bolts are in the box?

Click here to see answer by AnlytcPhil(1278)

Question 52762: Tray of corn muffins takes 4 c. milk and 3 c. flour for a profit of $3.
Tray of bran muffins takes 2 c. milk and 3 c. flour for a profit of $2.
Have only 16 c. milk and 15 c. flour. How many trays of each type of muffin should you make to maximize profit?
Click here to see answer by ankor@dixie-net.com(15746)

Question 52841: Jane has 116 more marbles than Mary has. If their mother gives 18 marbles to each of them, Jane will have 5 times as many marbles as Mary. How many marbles does Mary have before her mother gives them any more?
Click here to see answer by ankor@dixie-net.com(15746)

Question 52992: The manager of a cleaning supply company wants to make 12 gallons of mildew stain remover that is 25% chlorine. To make the new cleaner, he'll use a 5% chlorine liquid and an 85% chlorine concentrate. How much of each should he use to make 12 gallons of a 25% chlorine mixture?
Find the equation(s) and solve using substitution or elimination.
Not out of a text book!
Click here to see answer by venugopalramana(3286)

Question 52990: Frank has half of his investments in stock paying an 11% dividend and the other half in a debentured stock paying 13% interest. If his total annual interest is $840, how much does he have invested.
Find the equation(s) and solve using substitution or elimination.
Click here to see answer by funmath(2925)

Question 52994: A shop sells a package of holiday gift wrap for $25.50. It contains five small rolls and three large rolls. A package of birthday wrap with three small rolls and two large rolls sells for $16.25. The manager wants to sell a new alloccasion assortment. It will include two small rolls and two large rolls of gift wrap. The price of this package should be based on the prices of the small and large rolls in the other gift wrap packages. How much should the store charge for the new assortment?
Find the equation(s) and solve using substitution or elimination.
Not in a text book!
Click here to see answer by ankor@dixie-net.com(15746)

Question 52984: NEED HELP SOLVING:
BERMUDA TRIANGE HAS A PERIMETER OF 3075MI. THE SHORTEST SIDE MEASURES 75MI LESS THAN THE MIDDLE SIDE, AND THE LONGEST SIDE MEASURES 375MI MORE THAN THE MIDDLE SIDE. FIND THE LENGTHS OF THE THREE SIDES.
Click here to see answer by Grilly-O(3)

Question 53092: "In your Math Class, you have the scores of 68, 82, 87, and 89 on
the forst four of five tests. To get a grade of B, the average of
the first five test scores must be greater than or equal to 80 and
less than 90. Find the range of scores you need on the last test to
get a B.

Click here to see answer by funmath(2925)

Question 53108: Help solve:
act exam rose from 20.6 in 1990 to 21.0 in 1998. What percent increase was this.
Click here to see answer by consc198(59)

Question 53109: Help solve:
average tuition in 1990 was $2035.00. By 2000 it had risen approx 85%. What was the approx. cost in 2000
Click here to see answer by consc198(59)

Question 53303: The sum of the units digit and 3 times the tens digit of a 2 digit number is 14. The sum of the tens digit and twice the units digit is 18. Find the number.
Click here to see answer by ankor@dixie-net.com(15746)

Question 53332: what multiplier should be used for each of the following equations to eliminate one unknown by subtraction? 3x- y=7 , 2x+7y=42
Click here to see answer by venugopalramana(3286)

Question 53331: how is the following system of equations classified? 9x-3y=24 y=3x-8 is it a dependent , inconsistent , independent , quadratic
Click here to see answer by venugopalramana(3286)

Question 53329: a,b and c can finish a job in 6 days. if b and c work together , the job will take 9 days, if a and c work together the job will take 8 days in how many days can each man working alone do the job? please show formula
Click here to see answer by venugopalramana(3286)

Question 53327: 60. A can of frozen orange juice is taken from a freezer and gradually warmed, The equation T = 3x - 6 gives the Celsius temperature T of the juice x minutes after it is removed from the freezer. Find and discuss the meaning of the intercepts on the vertical and horizontal axes.
Click here to see answer by Nate(3500)

Question 53330: 46. Based on data from the U.S. Census Bureau, 8.4% of U.S. workers in 1992 earned over $100,000. In 2000, 13.4% of U.S. workers earned over $100,000.
a. Find a linear function that gives the percent of workers earned in excess of $100,000 for a given year.
b. In 1998, there were approximately 104,000,000 workers in the U.S. According to your model, how many of these workers earned over $100,000?
Click here to see answer by stanbon(57967)

Question 53366: A BOKSTORE MANAGER PLANS TO SPEND $60.00 ON PENS AT .30 CENTS EACH AND PENCILES AT .10 CENTS EACH. THE EQUATION 0.10X+0.30Y=60 CAN BE USE AS THE MODEL THIS SITUATION
· WHAT DO X AND Y REPRESENT?
· GRAPH THE EQUATION
· WRITE THE EQUATION IN SLOPE INCERPECT FORM.
· WHAT IS THE SLOPE OF THE LINE?
· WHAT DOES THE SLOP TELL YOU?

Click here to see answer by stanbon(57967)

Question 53362: THE MEDIAN AT FIRST FOR FEMALES INCREASED FROM 24.5 YEARS IN 1995 TO 25.1 YEARS IN 2000. LET 1995 BE YEAR 5 AND 2000 BE YEAR 10
A. FIND THE EQUATION OF THE LINE THROUGH (5,24.5) AND (10,25.1).
B. WHAT DO X AND Y REPRESENT IN YOU REQUATION?
C. INTERPRET THE SLOP OF THIS LINE.
D. IN WHAT YEAR WILL THE MEDIAN AGE BE 30.
E. GRAPH THE EQUATION

Click here to see answer by funmath(2925)

Question 53368: THE BASAL ENERGY REQUIREMENT B IS THE NUMBER OF CALORIES THAT A PERSON NEEDS TO MAINTIAN THE LIFE PROCESS. FOR A 28 YEAR OLD FEMALE WITH THE HEIGHT OF 160CENTIMETERS AND A WEIGHT OF 45 KILOGRAMS (KG), B IS 1300 CALIROIES. IF HER WEIGHT INCREASED TO 50 KILOGRAMS, THEN B IS 1365 CALORIES. THERE IS A LINEAR EQUATION THAT EXPRESS B IN TERMS OF HER WEIGHT W. FIND THE EQUATION AND FIND THE BASAL ENERGY REQUIREMENT IF HER WEIGHT IS 53.2 KILOGRAMS.
Click here to see answer by stanbon(57967)

Question 53374: The cost of producing a number of items x is given by C=mx+b, in which b is the fixed cost and m is the variable cost (the cost of producing one more item).
a.If the fixed cost is $40 and the variable cost is $10, write the cost equation.
b. Graph the cost equation.
c. The revenue generated from the sale of x items is given by R=50x. Graph the revenue equation on the same set of axes as the cost equation.
d. How many items must be produced for the revenue to equal the cost (the break-even point)?
I know this is a large one but it cmae with multiple questions to one problem. I hop eyou can helpme with this BEAR! McGraw Hill 6th edition,chapter 6, section 3, problem # 50. Thanks agian!!!
Click here to see answer by stanbon(57967)

Question 53358: The percentage of workers receiving direct deposit of their paychecks went from 32% in 1994 to 60% in 2004. Let the 1994be year 0 and let 2004 be year 10.
a. Write the equation of the line through (0,32) ands (10,60) to model the growth of the direct deposit.
b. Use the graph on the next page to predict the year in which 100% of all workers will receive direct deposit of their paychecks.
c. Use the equation from part (a) to predict the year in which 100% of all workers will receive direct deposit.

Click here to see answer by stanbon(57967)

Question 53347: Helen's Health Foods usually sells 400 cans of ProPac Muscle Punch per week when the price is $5.00 per can. After expermenting with prices for some time, Helen has determined that the weekly demand can be found by using this equation. d=600-40p
where d is the number of cans and p is the price per can.
A. Will Helen sell more or less Muscle Punch if she raises her price from $5.00?
B. What happens to her sales every time she raises her price by $1.00?
Click here to see answer by ankor@dixie-net.com(15746)

Question 53361: Ozark Furniture Company can obtain at most 3000 board feet of maple lumber for making its classic and modern rocking chairs. A classic maple rocker requires 15 board feet of maple, and a modern rocker requires 12 feet of maple. Write an inequality that limits the possible number of rockers of each type that can be made, and graph the inequality in the first quadrant.
Click here to see answer by stanbon(57967)

Question 53386: 48. A rancher has 200 feet of fencing to build a rectangular corral alongside an existing fence. Determine the dimensions of the corral that will maximize the enclosed area.
Click here to see answer by stanbon(57967)

Question 53355: The percentage of women in the 20-24 age group who have never married went from 55% in 1970 to 73% in the 2000 (census Bureau). Let the 1970 be year 0 and 2000 be year 30.
A. Find the intercept the slope of the line through the points (0,50) and (30,73).
B. Find the equation of the line in part (a).
C. What is the meaning of the y intercept?
D. Use the equation to predict the percentage in 2010.
e. If this trend continue, then in what year will the percentage of women in 20-24 age group who have never married reach 100%?

Click here to see answer by funmath(2925)

Question 53393: a bicyclist and a hiker leave the same place ate sane time and travel in the same direction. the bicyclist travels three times as fast as the hiker. at the end of three hours they are 24 miles apart. how fast does the hiker travel? a 4mph b 8mph c 10 mph d 12 mph ( i got a 4mph)is this right NEXT QUESTION a person 4 hrs by plane and 25 hrs by ship covers 1580 miles. if the speed of the plane has been one-half of the actual speed and the speed of the ship had been one-fourth greater, the person would have traveled only 1315 miles in the same length of time. find the speeds of the plane and ship? I GOT 220 AND 28 MPH IS THIS RIGHT NEXT QUESTION there are 220 barrels of cement in one shed and 510 barrels in another shed. how many barrels must be transferred from the second to the frist shed so that the first shed will contain two-thirds as much as the second shed? which of the following equations represents this problem (A) 220 X=2/3(510+X) (B)220+X=2/3(510-X) (C) 510-X=2/3(220+X) (D) 510+X=2/3(220-X) I THOUGHT (B) WOULD BE THE RIGHT ANSWER
Click here to see answer by venugopalramana(3286)

Question 53322: 22. The rate at which a flu epidemic spreads through a college campus is given by 0.000025x(5000 - x), where x is the number of people infected and the rate is the number of people that will be infected the next day.
a. Complete an inpute / output for x = 200, 400 600, and 800.
b. What is the meaning of the output when x = 600?
Click here to see answer by stanbon(57967)

Question 53391: 14. The data in the table below show the trade-in values for a 2-door, 1998 Ford Explorer utility vehicle in excellent condition for various odometer readings (in thousands of miles).
Trade-in Value of a 1998 Ford Explorer, June 2002
Odemeter Trade-in Odometer Trade-in
reading value reading value
45 $9560 65 $8660
50 $9435 75 $8110
55 $9285 90 $7410
60 8960 a.compute the linear regression equation for these data.
b. On the basis of this model, what is the expected trade-in value of a similar Ford Explorer with 80,000 miles on the odemeter? Round to the nearest whole number.
Click here to see answer by stanbon(57967)

Question 53392: first question the diference between two numbers is 15 ,when twice the smaller number is subtracted from three times the larger number ,the difference is 58. what is the larger number? next question anns age is seven tenths of bills age. in 4 years ann's age will be eight -elevenths of bills age , how old is bill? a 28 b 33 c 40 d 52 next question the sum of two numbers is 89 . adding four times the first number to the second number gives 155. which one of the following equations expresses this problem algebraically ? a (x-89)+4x=155 b 89+4x =155 c 4x+(89-x)=155 d 4(89+x)+x=155
Click here to see answer by stanbon(57967)

Question 53499: The line is parallel to -3x + 2y = 9 and contains the point (-2, 1)
find the equation of each line write answer in slop intercept form.

can any one please help me out with this. thanks a bunch
Click here to see answer by Earlsdon(6294)

Question 53522: Water temp. coming into the house is 60 degrees f, some of the water goes into the hot water heater, which reaches 120 degrees f, you fill a bath tub with 22 gallons of water with a temp. of 80 degrees f. What is the volume of cold water and the volume of hot water.
Click here to see answer by stanbon(57967)

Question 53500: please please help
(-1,-5),-8 find the equation of the line that goes through the given point and has the given slope. write the answer in slope intercept form.
Click here to see answer by tutorcecilia(2152)

Question 53497: A food chemist test enzymes for their ability to break down pectin in fruit juices. Excess pectin makes juice cloudy. In one test, the chemist measures the concentration of the enzyme, C, in milligrams per milliliter and the fraction of light absorbed by the liquid, a.
if A is greater than 0.07c + 0.02, then the enzyme is working as it should. Graph the inequality in the first quadrant

Click here to see answer by stanbon(57967)

Question 53563: If prunes cost $2.90/lb and apricots cost $3.15/lb and a total of 20 lbs of the two combined was sold for $59.75. How many pounds of each fruit was sold?
You're assistance is GREATLY APPRECIATED!
Click here to see answer by ankor@dixie-net.com(15746)

Question 53879: Marla begins walking at 3 mi/h toward the library. Her friend meets her at the half way point and drives her the rest of the way to the library. The distance to the library is 4 miles. How many hours did Marla walk.
Click here to see answer by stanbon(57967)

Question 53887: Solve each compound inequality. Write the solution set in interval notation and graph it.

8. 1/3 x greater than 2 and 1/4 x greater than 4

Click here to see answer by stanbon(57967)

Question 53892: Write a system of two equations in two unknowns for each problem.
76. Donna invested her $33,000 bonus and received a total of $970in interest after one year. If part of the money returned 4% and the remainder 2.25%, then how much did she invest at each rate?

Click here to see answer by stanbon(57967)

Question 53895: 70. Ziggy’s Famous Yogurt blends regular yogurt that is 3% fat with its no-fat yogurt to obtain low fat yogurt that is 1% fat. How many pounds of no-fat yogurt should be mixed to obtain 60 pounds of low fat yogurt?
Write a system of two equations in two unknowns for each problem Solve the systems by the method of your choice.
Click here to see answer by venugopalramana(3286)

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920