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

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 Linear Solvers Practice Answers archive Word Problems Lessons In depth

 Question 398813: Please help me with this! :) The senior class at highschool A and highschool B planned seperate trips to the state fair. The senior class at highschool A rented and filled 4 vans and 3 busses with 125 students. Highschool B rented 4 vans and 8 busses with 240 students. Each van and each bus carried the same number of students. Find the number of students in each van and in each bus. Thank you so much! Click here to see answer by ankor@dixie-net.com(15747)

 Question 399087: Because of erosion, Horseshoe Falls, one of the two falls that make up Niagara Falls, is migrating upstream at a rate of 2 feet per year. At this rate how long will it take the falls to move one-fourth mile? Click here to see answer by solver91311(17077)

 Question 399380: Brad Pitt earns \$1,000 every 4minutes and 48 seconds. He is in a new film and todays taping runs for 2 hours and 20 minutes. Write an equation and solve it to find the amount of money Brad earned today. Round to nearest cents as needed Click here to see answer by ewatrrr(10682)

 Question 399492: I am having a hard time with this word problem, Could someone please help me? I have to solve and show my work. For jumps that exceed 13 sec, the polynomial 173t-369 can be used to approximate the distance, in feet, that a skydiver has fallen in t seconds. Approximately how far has a skydiver fallen 20 seconds after having jumped from a plane? Click here to see answer by solver91311(17077)

 Question 399789: "If eighteen meters of fencing are required to enclose a rectangular garden, what is the area of the garden as a function of the length of one side?" How would I acheive the answer ? Click here to see answer by MathLover1(6815)

 Question 399842: an air plane takes 3 hours to travel 2160 miles with the wind.the return trip took 4 hours against the speed of the wind. find the speed of the wind and the speed of the plane in still air. and could you explain how you made the equations please? Click here to see answer by scott8148(6628)

 Question 399846: Can you please help me solve this question! Question:Joel, Nevin and Vu contributed to a present worth \$130 for Jessica. if Nevin contributes half the amount that Joel does and Vu contributes \$10 less than twice the amount that Joel contributes, find the amount each person given toward the present. my solution! Joel+Nevin+Vu=\$130 x+x/2+2x-10=130 from here i have worked out but i got the wrong answer coul you please show me the work out as well. thank you :) Click here to see answer by scott8148(6628)

 Question 399991: One apartment is directly above a second apartment. A resident living downstairs calls his neighbor living above him and states" If one of you is willing to come downstairs we'll have the same number of people in both apartments." The upstairs resident responds,"We're all too tired to move. Why don't one of you come up here? Then we will have twice as many people up here as you've got down there." How many people are in each apartment? A + 1 =B(2) A +1 = 2B B + 1 =A B + 1 =A B= A- 1 substitute: A + 1 = 2(A-1) resulting in A + 1 = 2A -2 -A + 2 = -A -2 3=A doesn't result in correct answer.... Click here to see answer by stanbon(57984)

 Question 400003: Brian has no more than 16 coins. They comprise of both nickels and dimes. There are at least four times as many nickels as there are dimes. Which of the following is a system of inequalities that describes this situation? Click here to see answer by Edwin McCravy(8999)

 Question 400004: Brian has no more than 16 coins. They comprise of both nickels and dimes. There are at least four times as many nickels as there are dimes. Which of the following is a system of inequalities that describes this situation? Click here to see answer by josmiceli(9819)

 Question 399996: QUESTION: Does this make sense or does it not make sense? Angles A and B are supplementary, so I modeled this condition using: 4x-2y+4=12x + 6y+12+180 Angle A: 4x-2y+4 Angle B: 12x+6y+12 >>>>ATTEMPTED SOLOUTION: I attempted this problem knowing that supplementary angles add up to 180 degrees This is my set up: 12x+6y+12 4x-2y+4 I divided the top equation by 6 and the bottom equation by 2 to bring it down to smaller numbers. Resulting in the following equations 2x+y+2 2x-y+2 The "Y's" disappear leaving the equation 4x+4=180.....subtract 4 from both side of the equations 4x+176 divide by 4 on each side to isolate the variable which results in x=44 to check if the answer is correct I back substitute 44 for x in the reduced equation which resulted in 2*44 + y +2 which becomes 88 + y + 2 = 90 + y combine like terms by - y from right side equation and left side equation......move the combine 88 and 2 to = 90 resulting in 90 = 90.......which is true since both of these equations add to 180.....I would say that this problem MAKES SENSE but the answer in the back of the book says it DOES NOT make sense............why doesn't it? Click here to see answer by Alan3354(31538)

 Question 400255: the number of people in the chess club is less than or equal to 21 Click here to see answer by solver91311(17077)

 Question 400442: write an equation of the line containing the given point and perpendicular to the given line (6,7);6x+=9. Thank you. Click here to see answer by Fombitz(13828)

 Question 400564: i need to see the set up to get number of cups from 1.5 gallons Click here to see answer by solver91311(17077)

 Question 400803: Tom is a medical equipment salesman and must choose between two salary contracts. In contract A, he is paid only by commision: his pay equals 15% of his total sales each month. In contract B, he gets \$275 per month plus 10% of his total sales. For what monthly amounts will contract A give more than contract B? Use s for the monthly sales amount(in dollars), and solve your inequality for s. Click here to see answer by checkley79(3056)

 Question 401128: suppose you are starting an office cleaning service. You have spent \$315 on equipment. To clean an office, you use \$4 worth of supplies you. You charge 25\$ per office. How many offices must you clean to break even Click here to see answer by stanbon(57984)

 Question 401145: The ratio of boys to girls in the class was 4:5. There were 24 people in the class. How many boys? How many girls? Click here to see answer by stanbon(57984)
 Question 401145: The ratio of boys to girls in the class was 4:5. There were 24 people in the class. How many boys? How many girls? Click here to see answer by solver91311(17077)
 Question 401145: The ratio of boys to girls in the class was 4:5. There were 24 people in the class. How many boys? How many girls? Click here to see answer by richard1234(5390)

 Question 401187: Travel Distance: Two buses leave the same city at the same time moving in opposite directions. one travels at a rate of 5 miles per hour faster than the other. after 3 hours they are 375 miles apart. how far did each bus travel? Click here to see answer by josmiceli(9819)

 Question 401182: Gardening: a homeowner designs a rectangular garden such that the length is 20 feet more than twice the width. if 310 feet of picket fencing are to be used, find the length and width of the garden? Click here to see answer by nerdybill(7011)

 Question 401188: Travel Rate: A semi truck travels on a paved road for 2 hours at an average speed of 20 miles per hour faster than it travels on a dirt road. the time spent on the dirt is 3 hours. if the entire trip is 200 miles, how fast is the truck traveling on the dirt road? Click here to see answer by lwsshak3(6765)

 Question 401302: A blimp flies at 60 miles per hour. A round trip of 40 miles into the wind and 40 miles with the wind takes 1.5 hours. What is the speed of the wind? Click here to see answer by mananth(12270)

 Question 401388: The equations S = 5000 + 200x and D = 9500 – 100x express the supply S and the demand D, respectively, for a popular compact disc brand in terms of its price x (in dollars). a) Graph the equations on the same coordinate system. b) What happens to the supply as the price increases? c) What happens to the demand as the price increases? d) The price at which supply and demand are equal is called the equilibrium price. What is the equilibrium price? Click here to see answer by mananth(12270)

 Question 401387: Ziggy’s Famous Yogurt blends regular yogurt that is 3% with its no-fat yogurt to obtain low-fat yogurt that 1% fat. How many pounds of regular yogurt and how many pounds of no-fat yogurt should be mixed to obtain 60 pounds of low-fat yogurt? Click here to see answer by Tatiana_Stebko(1326)

 Question 401410: Explain in your own words how you would use your calculator to solve the equation : cos x = -0.06,0 ≤ x ≤ 2π Click here to see answer by richard1234(5390)

 Question 401455: what is the highest common factor of 5X+10y Click here to see answer by rfer(12731)

 Question 401528: Mary is one year older than four times Tammmy's age. Kelly is three times as old as Mary. If Kelly is twenty-seven, then how old are Mary and Tammy? Click here to see answer by josmiceli(9819)

 Question 380445: problem solving - sizes of envelopes. rhetoric advertising is a direct-mail company. it determines that for a particular campaign, it can use any envelope with a fixed width of 3 1/2 in. and an area of at least 17 1/2 in. ^2. determine (in an enequality) those lengths that will satisfy the company constraints Click here to see answer by TinaC43(1)

 Question 401813: Investing 20000 part at 4% and part at 6%.If the annual income from investments was equal how much was invested at each rate Click here to see answer by rfer(12731)

 Question 401470: an airplane flew for 3 hours with a tailwind of 18 kilometers per hour. The return flight against the win took 4 hours. Find the rate of the plane in still air. Click here to see answer by scott8148(6628)

 Question 401917: Graph system : In order ofr Martia and Peggy to compete against each other during the swimming season next year they need to be in the same weight category. Martia weighs 180 and plans to gain 2 lbs per week. Peggy weighs 250lbs and plan to lose 1 pounds per week. In which week will they weigh the same. Click here to see answer by josmiceli(9819)

 Question 402014: a swim team has five times as many girls then boys. there are a total of 96 people on the swim team . How many gerls and boys are their on the team? Click here to see answer by rfer(12731)

 Question 402326: For a certain 3-digit number, interchanging the first and last digits gives a 3-digit number 297 less than the original number. Doubling the first and last digits of the original number gives a 3-digit number and increases the sum of the digits to 15. What is the number? Click here to see answer by Edwin McCravy(8999)

 Question 402406: a boat travels 60 km upsteam in 5 hours. the boat travels the same direction downstream in 3 hours. what is the rate of the boat in still water? what is the rate of the current? Click here to see answer by checkley79(3056)
 Question 402406: a boat travels 60 km upsteam in 5 hours. the boat travels the same direction downstream in 3 hours. what is the rate of the boat in still water? what is the rate of the current? Click here to see answer by josmiceli(9819)

 Question 402394: If a pair of shoes that cost \$50.00 was marked down by 8% , How much do they cost now ? Click here to see answer by checkley79(3056)

 Question 402749: a student dropped his cell phone from a floor with a height of 81 feet. the heigh of the phone after t seconds is given by the quadradic equation h=-9t^2+81. how long will it take for the cell phone to hit the ground? Click here to see answer by nerdybill(7011)

 Question 290513: A company makes three chocolate candies: cherry, almond, and raisin. Matrix A give the amount of ingredients in one batch. Matrix B gives the costs of ingredients from suppliers R and S. What is the cost of 100 batches of each candy using ingredients from supplier S? Matrix A Sugar Choc Milk 4 6 1 cherry 7 3 1 almond 4 3 1 raisin Matrix B R S 6 5 Sugar 6 7 Choc 2 2 milk A) \$13,200 B)\$6,600 C)\$12,000 D)\$16,500 Click here to see answer by CienaC(1)

 Question 402650: Please help me solve this: There is a fundraiser. Twice as many people donate 25 than 50. All together 18000 was collected. How many people donated each amount. Click here to see answer by scott8148(6628)

 Question 402693: the sum of two numbers is 67. If three times the smaller number is subtracted from the larger number, the result is 3. find the two numbers. Click here to see answer by ankor@dixie-net.com(15747)

 Question 403121: The table lists the cost in millions of dollars for a 30-second super bowl commercial for the selected years. table shows years as 1990,1994,1998,2004,2008 table shows cost as 0.8,1.2,1.6,2.3,2.7 a)find a linear function f that models the data. b)estimate the cost in 1987 and compare the estimate to the actual value of \$0.6 million. Did your estimate involve interpolation or extrapolation? c)use f to predict the year when the cost could reach \$3.2 million. I am very lost here, thanks in advance for any help! Click here to see answer by stanbon(57984)

 Question 403142: At 2:00pm a runner heads north on a highway, jogging at 10 miles per hour. At 2:30pm a driver heads north on the same highway to pick up the runner. If the car travels at 55 miles per hour, how long will it take the driver to catch the runner? Thanks for any help! :) Click here to see answer by stanbon(57984)

 Question 403118: Find the length of the longest side of the rectangle if its perimeter is 25 feet. Picture shows 2x as height and 5x-1 as length. Click here to see answer by rvquartz(19)

 Question 402710: Nicholas wants to order a pizza. He has a total of \$13.00 to pay the delivery person. The pizza costs \$7.50 plus \$1.25 per topping. If he plans to tip 15% of the otal cost of the pizza, how many toppings can he order? Click here to see answer by rvquartz(19)

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