# 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 24152: I have a math problem I cannot solve can somebody help me PLEASE! Determine whether the system has 1 solution,no solution,or many solutions: y=-x+2 3x+3y=6 and y=2/3x 2x-y=-4 Click here to see answer by AnlytcPhil(1276)

 Question 24145: suppose you bought supplies for a party. 3 rolls of streamers and 15 party hats cost \$30. later you bought 2 rolls of streamers and 4 party hats for \$11. how much did each roll of streamers cost. how much did each party hat cost? Click here to see answer by AnlytcPhil(1276)

 Question 24144: a light plane flew from its home base to an airport 255 miles away. with a headwind the trip took 1.7 hours the return trip with a tailwind took 1.5 hours. Find the average air speed of the plane and the average wind speed? Click here to see answer by Paul(988)

 Question 24187: You are selling tickets for a high school play. Student tickets cost \$4 and general admission tickets cost \$6. You sell 525 tickets and collect \$2876. How many of each type did you sell? Click here to see answer by Paul(988)
 Question 24187: You are selling tickets for a high school play. Student tickets cost \$4 and general admission tickets cost \$6. You sell 525 tickets and collect \$2876. How many of each type did you sell? Click here to see answer by chripchrip(6)

 Question 24189: I think of a number. If I subtract 6 from it and multiply the difference by 4 the result is 36. Evaluate the number that I thought of. Click here to see answer by Paul(988)

 Question 24334: Hi there, i'm having trouble with this word problem and i was wondering if one of you could help me... i already tried to do some of it but im not quite sure i'm doing it right. Question: A rectangular flower garden is planted in a rectangular yard that is 16 m by 12 m. The garden occupies 1\6 of the area of the yard and leaves a uniform strip of grass around the edges. Find the dimensions of the garden. ------------------------------------------------------------------ This is what I have already tried but I don't think I am doing it right. If you could show me how to do this problem or correct me that would be great. 16-x+12-x+x2 <--(x squared.) = 160 Click here to see answer by kev82(148)

 Question 24372: just want the steps of these problem (x+3)/(x-2)=(x+4)/(x-3),thanks Click here to see answer by AnlytcPhil(1276)

 Question 24320: You are earning extra money drawing sketches for your friends and family. You recieve \$12 per sketch. Your Expenses for art supplies are \$50. Suppose you plan to spend an additional \$7 per sketch for a frame. Write an equation that models only your expenses. Click here to see answer by josmiceli(9668)

 Question 24547: A barge takes 4 hours to move (at a constant rate) downstream for 32 miles, helped by a current of 2 miles per hour. If the barge's engines are set at the same pace, find the time of its return trip against the current. Click here to see answer by AnlytcPhil(1276)

 Question 24586: A fruit vendor bought 36 pineapples for \$30. He sold some at \$1.29 each and the rest at \$1.09, therby gaining \$13.64. How many did he sell at each price? Click here to see answer by josmiceli(9668)

 Question 24756: A dance floor required for one persons is 9 square feet what is length and width of a dance floor if you have 100 dancers? Click here to see answer by rapaljer(4667)

 Question 24970: Richard has four times as many marbles as John. If Richard gave 18 to John they would have the same number. How many marbles has each? Please tell me the exact steps to solve this, thanks :) Click here to see answer by wuwei96815(245)

 Question 24980: I struggle with word problems. Once they are in an equation, I can do it, but getting them to that point is very hard for me. Could you please set the equation so I can solve the problem on my own? Customers of a phone company can choose between two service plans for long distance calls. The first plan has a \$23 one-time activation fee and charges 10 cents a minute. The second plan has no activation fee and charges 15 cents a minute. After how many minutes of long distance calls will the costs of the two plans be equal? Click here to see answer by stanbon(57290)

 Question 24936: What type of problems are these? Can you help me solve? 1 . √ x – 1 = 3 2 . √ x^3 = 8 3. ^ 3√ x ^2 =4 Is √ x^2 = x and identity (true for all values of x)? Help… I don’t know how to do and I have to explain my answer. Click here to see answer by stanbon(57290)

 Question 25085: The administrator of a \$200,000 trust fund set up by Mr Smith's will must adhere to certain guidelines. The total amount of \$200,000 need not be fully invested at any one time. The money may be invested in 3 different types of securities: a utilities stock paying a 9% dividend, an electronics stock paying a 4% dividend, and a bond paying 5% interest. Suppose that the amt invested in the stocks cannot be more than half the total amount invested:the amt invested in the utilities stock cannot exceed \$40,000 and the amt invested in the bond must be at least \$70,000......what investment policy should be pursued to maximize the return? Click here to see answer by wuwei96815(245)

 Question 25154: I know that I need three equations to solve the system, but it seems like I don't have enough information to solve. I can do x+y+z=40 for one equation. But I'm not sure how to get the other two equations. Thanks for the help. The college bookstore sells 3 types of calculators. They have a total of 40 calculators in stock. The total amount of revenue from these calculators will be \$3590. The most expensive type costs \$75 more than the cheapest. Find the cost of each type. Click here to see answer by venugopalramana(3286)

 Question 25194: An elevator went from the bottom to the top of a tower at an average speed of 4 m/s, remained at the top for 90 s, and then returned to the bottom at 5 m/s. If the total elapsed time was 4 1/2 min., how high is the tower? Can you please also give the the equation you used to solve this problem? Thank you! Click here to see answer by Paul(988)

 Question 25327: At the carnival, tickets for the rides are \$0.75 each, or you can buy an armband for \$15 and ride unlimited for one night. At how many rides does the armband cost the same as buying individual tickets? Click here to see answer by stanbon(57290)

 Question 25294: Hi I am stuck on a problem I was wondering if u could help Music club A has a \$30 membership fee and charges \$8 per CD. Music club B has a \$45 membership fee and charges \$7 per CD. How many CDs would a person need to buy for club A to be the more expensive? Click here to see answer by josmiceli(9668)

 Question 25423: In a certain mill the cost C is thousands of dollars of producing x tons of steel is given by C = 0.3x + 3.5. The revenue R in thousands of dollars from selling x tons if given by R = 0.5x. Find the point at which R=C (the break-even point). Click here to see answer by Earlsdon(6287)

 Question 25233: Norbert sold 23 books on Thursday for a curtain price. On Friday, ha sold 35 of the same books, but he charged \$0.50 less per book. If he made \$490.00 in total, hom much did the book sell for each day?? Click here to see answer by elima(1433)

 Question 25249: Once again, I have issues with getting word problems into an equation. If there is someone who can set the equation up, I can take it from there (usually)! Thank you so much! Suppose wheat and sugar are the two basic ingredients necessary to bake two items: A loaf of bread and a muffin. A baker has 25 pounds of wheat and 5 pounds of sugar. To bake each loaf of bread, the baker needs to use 1.3 pounds of wheat and 0.5 pounds of sugar. To bake each muffin, the baker needs 0.4 pounds of wheat and 0.16 pounds of sugar. a) Set up the inequalitities representing the baker's possible choices for baking the number of loaves of bread and muffins to use up his available resources (wheat and sugar). b) If each loaf of bread is sold for \$2.50, and each muffin is sold for \$1.15, define an equation to represent the baker's profit function. Click here to see answer by LolaFish(5)

 Question 25646: Tickets to the Valentine Dance cost \$3 per person or \$5 per couple. If \$475 worth of tickets were sold and 180 people attended the dance, how many couples were there? Click here to see answer by stanbon(57290)

 Question 25721: On the first day of school, the percentage of boys in a particular class is 60%. During the school year, six girls move away, and are replaced in the class by six boys; this makes the class roster 75% boys. Find the number of boys and girls in the class on the first day of school. Click here to see answer by stanbon(57290)
 Question 25721: On the first day of school, the percentage of boys in a particular class is 60%. During the school year, six girls move away, and are replaced in the class by six boys; this makes the class roster 75% boys. Find the number of boys and girls in the class on the first day of school. Click here to see answer by mewtwo1(3)
 Question 25721: On the first day of school, the percentage of boys in a particular class is 60%. During the school year, six girls move away, and are replaced in the class by six boys; this makes the class roster 75% boys. Find the number of boys and girls in the class on the first day of school. Click here to see answer by josmiceli(9668)

 Question 24674: A community food pantry had cans of vegetables to distribute. When they put 10 cans in each bag, one bag was left with 9. When they put 9 cans per bag, one was left with 8. When they put 8 cans per bag, one was left with 7. This continued until 2 cans per bag left one bag with one can. What is the least number of cans the pantry had to begin with? Click here to see answer by venugopalramana(3286)

 Question 25730: A wholesaler is offering two different package deals of roses and carnations to florists. One package contains 20 dozen roses and 34 dozen carnations for \$504.00. The other package contains 15 dozen roses and 17 dozen carnations for \$327.00. Let y = cost of one dozen roses Let x = cost of one dozen carnations a. Write a system of equations for this problem. b. Which equation can be multiplied by a coefficient to create an opposite coefficient? What is that value? c. Solve this system for the cost of one dozen roses and the cost of one dozen carnations. Click here to see answer by Paul(988)

 Question 26196: The perimeter of a rectangle is 16 feet. The width is 2 feet less than the length. Find the width. Click here to see answer by stanbon(57290)

 Question 26194: A chemistery lab can be used by 38 students at one time. The lab has 16 work-stations, some set up for 2 students each and the others set up for 3 students each. How many work-stations accommodate 2 students? Click here to see answer by stanbon(57290)

 Question 26222: Hi! I would like to know if you can help me with the following problem. Three kinds of coffee are to be mixed to get a blend. One kind costs \$0.40 per pound, the second \$0.80 per pound and the third \$1.00 per pound. 110 pounds of the mix is wanted and it should cost \$0.60 per pound. The amount of coffee costing \$0.80 per pound should be 2/3 of the amount at \$0.40 per pound. How much of each kind of coffee should be used? Click here to see answer by stanbon(57290)

 Question 26175: Hello. I am having trouble finding a system of equations for this word problem. "For a certain 3 digit number, interchanging the first and last digits gives a three digit number 297 less than the original number. Doubling the first and last digits of the original number gives a three digit number that increases the sum of the digits to 15" I have figured out the answer to the problem (154) but i need it to be put into a system of equations. I am trying my best to figure out the solution so i can hand it in TOMORROW!(I know i need a solution quickly!) I am in eighth grade and am in algebra 1 and no problem has stumped me this much! Please Math Gods, set up a system of equations for this word problem. If you do, my day will be saved! Thank you and have a nice day! Click here to see answer by venugopalramana(3286)

 Question 26519: Please help me with this problem: Two integers have a sum of 53 and a difference of 17. Find the larger integer. I'm thinking it should be x + x = 53 x - x = 17 So maybe subtract 53 and 17 to get 36. But i don't think thats right either. Thanks for taking time to help me, it's greatly appreciated. Click here to see answer by Paul(988)

 Question 26518: Please help me with this problem: If a number times itself is added to 5 rimes the number, the result is 24. What could this number possibly be ? I think it should be x^2+5= 24 but thats as far as I get. This is a multiple choice question and it lists the answers as: A. 3 or 8 B. -3 or 8 C -3 or -8 E. -4 or 6. Thanks for taking time to help me, it's greatly appreciated. Click here to see answer by Paul(988)

 Question 26720: Two angles are complementary. One angle is 15 degrees more than 2 times the other. Find the angles. Click here to see answer by longjonsilver(2297)

 Question 26721: Two angles are supplementary. One angle is 28 degrees less than 3 times the other angle. Find the angles. Click here to see answer by longjonsilver(2297)

 Question 26760: Need some help please. Question : The world record for the mile was 4 minutes and 10 seconds in 1923 and 3 minutes and 49 seconds in 1975. a) Assuming that the record improves in a linear fashion, write an equation to predict the mile world record (in seconds) for a given year. b) From your equation what should the world record have been in 1999? How does it compare to the actual world's record of 3 minutes and 43.13 seconda. Click here to see answer by wuwei96815(245)

 Question 27045: A company's profits P are related to the number of items produced x by a linear equation, what is the slope of the graph of the equation if the profits rise by \$30,000 for 150 items produced? Click here to see answer by mbarugel(146)