# 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 489413: A pond is enclosed by a wooden deck that is three feet wide.the fence is sorrounding the deck is 100 feet long. if the pond is square,what are its dimensions? Click here to see answer by jorel1380(2518)

 Question 489560: The sum of two numbers is 15. Three times one of the numbers is 11 less than five times the other.Find the numbers Click here to see answer by unlockmath(1599)

 Question 490029: Cruz decides that he would like to purchase some CD's. He knows that a new CD cost \$15 and a used CD cost \$8. If he bought 4 times as many used CD's as he did new CD's and used and spent a total of \$153, what are the equations? Click here to see answer by stanbon(57347)

 Question 490125: The sum of two numbers is 4 less than twice the larger. If the larger is decreased by three times the smaller, the result is -20. Find the numbers. Click here to see answer by stanbon(57347)

 Question 490343: BUILDINGS: The Sears Tower in Chicago is 1450 feet tall. The John Hancock Center in Chicago is 1127 feet tall. Suppose you are asked to build a small-scale replica of each. If you make the Sears Tower 3 meter tall, what would be the approximate height of the John Hancock replica? Round your answer to the nearest hundredth. Click here to see answer by josmiceli(9678)

 Question 490368: A loaf of a bread and 6 rolls cost 100.00 . At the same prices, 2 loaves of bread and 3 rolls cost 128.00 . How much does one loaf and 3 rolls cost? How much does one loaf cost? What about one roll? Click here to see answer by stanbon(57347)

 Question 490372: What is the smallest square number that is the sum of two square numbers. Find two square numbers numbers whose sum is 100. How many square numbers are there between 100 and 1000? Click here to see answer by MathLover1(6632)

 Question 490339: I want to rent 65 thousand square feet for 12 dollars per foot per month. What is the figure per month i should charge? Click here to see answer by rfer(12660)

 Question 490379: You have two pails, one that will hold 4 quarts and one that will hold 9 quarts. There are no markings on either pail to indicate smaller quantities. How can you measure out 6 quarts of water, using these two pails? Click here to see answer by scott8148(6628)

 Question 490789: Richard has a piggy bank containing only dimes and quarters. He has seven more quarters than dimes. If the total value of the coins is \$3.85, how many dimes and quarters does Richard have? Click here to see answer by stanbon(57347)

 Question 490790: Investment: \$20,000 Annual Income: \$1,280 x = T-Bills, 5% yeild y = T-Bonds, 7% yeild z = Corp Bonds, 9% yeild amount invested in t-bills must be 2 times the amount invested in Corp Bills. Find the amount in each investment. I have two of the three equations: x+y+z= 20,000 5x+7y+9z=128,000 What would the third equation be? Click here to see answer by stanbon(57347)

 Question 491050: A rectangle serving tray is twice as long as it is wide. the area of the tray is 338in^2. Find the dimensions of the tray. Click here to see answer by Alan3354(30993)

 Question 491051: The length of a leg of a right triangle is 15 ft. The length of the hypotenuse is 5 ft longer than the other leg. Find the length of the hypotenuse and the second leg. Click here to see answer by Alan3354(30993)

 Question 491436: For a certain event, 821 tickets were sold, for a total of \$1933. If students paid \$2 per ticket and nonstudents paid \$3 per ticket, how many student tickets were sold? Click here to see answer by MathLover1(6632)

 Question 491508: Suppose you have a budget of 450 dollars for one month. You would like to buy some textbooks and CDs. The average cost of a book is 55 dollars each and that of a CD is 12 dollars each. Let x denote the number of books you buy and y denote the number of CDs that you buy. This is what I have tried and I just cannot get the right answer. Write the equation of your budget constraint in the form y=mx+b, where m and b are some numbers. y=55x+450 and y=4.58x+37.5 Click here to see answer by oberobic(2304)

 Question 491523: A cattle rancher has 2600 feet of fencing that will be used to enclose a rectangular feed lot. If one of the dimensions of the feed lot is x,find a formula for the area y of the feed lot (in square feet) as a function of x. Click here to see answer by stanbon(57347)

 Question 491770:  On a recent trip to CA, we averaged 50 miles per hour. On the return trip we averaged 60 miles per hour. What do you think the average speed of the trip to CA and back was? Algebraically determine the average speed of the trip to CA and back. Click here to see answer by Alan3354(30993)

 Question 493118: it costs \$45 to manufacture one tent. each tent sells for \$250. Write a function to represent the profit from manufacturing and selling x tents. Click here to see answer by cw&mj101(1)

 Question 493544: I would like to compare two phone plans from verizon using a graph of a system of linear equations. Plan A includes 450 minutes for \$40.00 per month plus a charge of .45 per minute over 450. Plan B includes 900 minutes for \$60.00 per month plus a charge of .40 per minute over 900. Solve for a user who averages 1250 minutes per month. Is there a solution set where the points merge? Thanks for taking a look :) Click here to see answer by ankor@dixie-net.com(15652)

 Question 494462: Suppose that next week you plan to work h hours. Write an expression that models the amount of money you will earn. Click here to see answer by Alan3354(30993)

 Question 495169: Goran will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of \$65 and costs an additional .40 per mile driven. The second plan has no initial fee but costs .60 per mile driven. How many miles would Goran need to drive for the two plans to cost the same? Click here to see answer by rfer(12660)

 Question 495193: A nearby resort rented a certain number of function rooms for 28,800.00 . When the price was reduced by 20.00 per room, 6 rooms were rented. How many function rooms were rented? Click here to see answer by josmiceli(9678)

 Question 495668: If 120 lollipops cost ninety dollars, how much does one lollipop cost? Click here to see answer by oberobic(2304)

 Question 495840: if six times a number is increased by 15.35, the result is 12.5 less than the number. what is the number? Click here to see answer by NirMath4U(7)

 Question 495560: a tourist agency can sell up to 1200 packages for a football game. the package includes airfare, weekend accomodations, and the choice of two types of flights: a nonstop flight or a two-stop flight. The nonstop flight can carry up to 150 passengers and the two-stop flight can carry up to 100 passengers. The agency can locate no more than 10 planes for the travel packages. Each package with a nonstop flight sells for \$1200, and each package with a two-stop flight sells for \$900. assume that each plane will carry the maximum number of passengers. A. write a system of linear equalities to represent the constraints. B. Write an objective function that maximizes the revenue for the tourist agency, and find the maximumrevenue for the given constraints. Click here to see answer by ankor@dixie-net.com(15652)

 Question 496641: chris earns four times vesna's wage and vensna earns \$17 more than dawn. How many dollars does chris earn if their combined wages are \$163 Click here to see answer by josmiceli(9678)

 Question 496837: how do i solve this? In a coordinate system, points A(-2, 3) and B(6, -1) have a midpoint of X. What is the midpoint between A and X? Click here to see answer by ankor@dixie-net.com(15652)

 Question 497240: Represent the number whose tens' digit is t and whose units digit is u. I have no idea what the answer is that he is looking for. Is this close and if not what is the answer? 30=t 5=u Click here to see answer by mananth(12270)

 Question 497525: Amanda leaves with a basket of hard-boiled eggs to sell. At her first stop she sold half her eggs plus half an egg. At her second stop she sold half her eggs plus half an egg. The same thing occurs at her third, fourth, and fifth stops. When she finishes, she has no eggs in her basket. How many eggs did she start with. Answer is 31. What is the formula to figure out how many eggs? Click here to see answer by josmiceli(9678)
 Question 497525: Amanda leaves with a basket of hard-boiled eggs to sell. At her first stop she sold half her eggs plus half an egg. At her second stop she sold half her eggs plus half an egg. The same thing occurs at her third, fourth, and fifth stops. When she finishes, she has no eggs in her basket. How many eggs did she start with. Answer is 31. What is the formula to figure out how many eggs? Click here to see answer by htmentor(789)

 Question 497978: At a bake, it cost you \$100 to make the baked goods.if you charge \$2 for each goodie write an equation that models your total profit. Click here to see answer by jorel1380(2518)
 Question 497978: At a bake, it cost you \$100 to make the baked goods.if you charge \$2 for each goodie write an equation that models your total profit. Click here to see answer by josmiceli(9678)

 Question 498158: The admission tickets to a concert was sold \$8 for each adult, and \$5 for each child. The number of adult tickets sold was 50 less than twice the number of children's tickets sold. If the total sales amounted to \$5,900, how many tickets of each type were sold? Click here to see answer by lwsshak3(6505)

 Question 498366: A dog is 3/4 its weight plus 3/4 lbs. How many lbs does the dog weigh? Click here to see answer by KatieMose(5)

 Question 498129: working together, it takes two roofers 4 hours to put a new roof on a portable classroom. if the first roofer can do the job by himself in 6 hours, how many hours will it take the second roofer to do the job by himself? Click here to see answer by scott8148(6628)

 Question 498715: In a chemistry class, 12 L of a 12% alcohol solution must be mixed with 20% solution to get a 14% solution. how many liters of the 20% solution are needed Click here to see answer by mananth(12270)