# 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 604527: the cost of 30 chairs and 20 tables is 8500.what is the total cost of 117 chairs and 78 table???? Click here to see answer by flame8855(424)

 Question 604618: Two cyclists leave towns 90 miles apart at the same time, and travel towards each other. One cyclist travels 5 mi/h slower than the other. If they meet in 2 hours, what is the rate of each cyclist? I'm having a hard time figuring out the proper formula for this problem. Thank you in advance for your help! Click here to see answer by lwsshak3(6761)

 Question 604801: My competitor sells an item for \$12.00. I sell it for \$6.00. We both sell \$6,000 worth. How do I figure out the comparisons. I want to prove that my item actually sold more units. Click here to see answer by alicealc(281)

 Question 604876: two numbers are related in this way: the number 1 is subtracted from the first number, the difference is squared, then doubled;the result is equal to the second number. the number 1 is added to the first number, and the sum is squared;the result is equal to 4 minus the second number. determine the numbers. Click here to see answer by ankor@dixie-net.com(15746)

 Question 604793: A group of students decide to go out for lunch after the examination. The account of R144 must be paid by the group. Six students cannot pay, so each of the others must pay an extra R2. Determine the number of students in the group. Click here to see answer by scott8148(6628)

 Question 604914: A company that mixes and sells concrete to deliever several loads of concrete contaning an aggregate that is 20% sand by weight. The company has a pile that contains 360,000 lb of aggregate that is 15% sand. How much sand will be required to mix with the aggregate in the pile to produce a mixture that is 20% sand? Click here to see answer by scott8148(6628)

 Question 605085: a 69 inch board is cut into 2 pieces. one piece is two times the length of the other, whats the length of the pieces Click here to see answer by stanbon(57967)

 Question 605102: Choose the equation of a line passing through the point (-6,-1) and parallel to the line x=7. Click here to see answer by stanbon(57967)

 Question 605241: 1.Derive a formula for cos 2A with aid of cos (A + B). 2.Prove that 2 tan x + 2 cot x = 4/sin 2x Click here to see answer by Edwin McCravy(8999)

 Question 605457: red apples cost ,25,green apples cost .35.If you spent 7.65 on twice as may green apples as red apples, how many green apples did you buy Click here to see answer by stanbon(57967)

 Question 605513: What is the equation that will fit the following information. Gail is raising money by selling popcorn. She rents a cart for 40.00 a day. She sells each box for 1.25 but her expenses for each box is .55. I think this is a y=mx + b equation but I am not sure. Can you help? Click here to see answer by ankor@dixie-net.com(15746)

 Question 605685: A man buys a certain number of bolts for \$40. The following week the following week the shop has a sale and each bolt costs 40 cents less. At the new price he could have bought five bolts more for the same amount of money. How many bolts did he buy? Click here to see answer by mathie123(224)

 Question 3402: I've tried many times to find the answer... and I've also never had a real big thing for math that's why I'm in summer school right now... If I could get any help at all it would be great, and maybe a brief x-pla. on how it's to be done "A theater sells children's tickets for \$4 and adult tickets for \$7. One night 575 tickets worth \$3575 were sold. How many adults and children bought tickets" Thanks Many Matt McIvor Click here to see answer by ehull(1)

 Question 606644: to help out a classmate in need, the students of DCHS section Hope of DCHS decided to send cash aid of Php 2000. Th e students shared the cost equally. At the last minute, 10 chipped in, lowering the cost per person by Php 10 for each student. How many students are there in Section Hope. Click here to see answer by htmentor(807)

 Question 607034: Find the rule of the linear function f that gives the number of hours in x days. Click here to see answer by richard1234(5390)

 Question 607273: Please, how do i express this as an equation: The total attendence for two successive nights was 350. The second night, 50 more people attended than the first night. How many attended each night? I tried: x+y=350 y=50+x (not sure on this part) Click here to see answer by jim_thompson5910(28715)
 Question 607273: Please, how do i express this as an equation: The total attendence for two successive nights was 350. The second night, 50 more people attended than the first night. How many attended each night? I tried: x+y=350 y=50+x (not sure on this part) Click here to see answer by LisaJ(11)
 Question 607273: Please, how do i express this as an equation: The total attendence for two successive nights was 350. The second night, 50 more people attended than the first night. How many attended each night? I tried: x+y=350 y=50+x (not sure on this part) Click here to see answer by Alan3354(31518)

 Question 607278: How do i form the equations: The service club is selling two sizes of candy bars. Large bars sell for \$1.50 each and extra-large bars sell for \$3.00. Kim sells 30 candy bars for \$63. How many of each size did she sell? Click here to see answer by lynnlo(4169)

 Question 607242: Charlie was buying things for his holiday party. He spent one-third of what he had plus \$3 on plates and tablecloths, then one-third of what was left plus \$2 on food, then half of what was left plus \$10 on soda. He then had \$10 left for potato chips and other snacks. How much did he start with? Click here to see answer by KMST(1936)

 Question 607400: Find the amount of 6 percent acid solution and the amount of a 14 percent acid solutions pat should combine to prepare 50cc of 12 percent solutions Click here to see answer by josmiceli(9817)

 Question 607698: A plane travels due east at 325 miles per hour and another plane travels due west at 275 miles per hour. If they leave at the same time, in how many hours will they be 2100 miles apart? Click here to see answer by jim_thompson5910(28715)

 Question 607848: if apples cost \$3.75 for 3 pounds, what is the cost, at the same rate, of 7 pounds of apples? Click here to see answer by rfer(12730)

 Question 609228: If 1 is added to the numerator of a certain fraction the value becomes one-third. But if 1 is subtracted from the denominator of the fraction the value becomes one-fourth. Find the given fraction. Click here to see answer by richwmiller(9144)

 Question 609323: One unit of whole wheat flour has 13.6 grams of protein and 2.5 grams of fat. One unit of whole milk has 3.4 grams of protein and 3.7 grams of fat. To the nearest tenth fin dthe number of units of whole wheat flour and whole milk that must be mixed to make dough that has 75 grams of protein and 15 grams of fat. Click here to see answer by josmiceli(9817)

 Question 609835: john is three times as old sa su. the combined age is 52. how old is each person? Click here to see answer by flame8855(424)

 Question 609884: I'm working on this section in my Algebra book called Elimination by Addition Method/Systems using two linear equations, and I'm stuck on this word problem. Can somebody please help me and explain how to set it up and solve it? Many thanks! Suppose that we have a rectangular book cover. If the width is increased by 2 centimeters, and the length is decreased by 1 centimeter, then the area is increased by 28 square centimeters. However, if the width is decreased by 1 centimeter and the length is increased by 2 centimeters, then the area is increased by 10 square centimeters. Find the dimensions of the book cover. This is what I tried doing (W+2)(L-1)= 28 (W-1)(L+2)=10 I know I'm doing something wrong and I cant figure out another way to set up the equations. Click here to see answer by stanbon(57967)

 Question 609813: to find the cost y of manufacturing x pens, a company uses the equation y=5000+2x. identify and interpret the y-intercept. Click here to see answer by lynnlo(4169)

 Question 610026: the number of minutes, m, Takashi takes to run five laps around the track varies inversely as his average speed,s, in meters per minute. If k is the constant of variation, what equation represents this situation A. m = s + k B. m = ks C. m = S/k D. m = k/s Click here to see answer by stanbon(57967)

 Question 610126: Two numbers are such that ratio between 3:5 . if each is increased by 10,the ratio between the new numbers so formed is 5:7 .find the original numbers? Click here to see answer by flame8855(424)

 Question 610110: find two numbers such that the sum of twice the first and the second is 92, and four times the first exceeds seven times the second by 2. Click here to see answer by flame8855(424)

 Question 610127: Two chemicals X and Y are stored in a freezer in a laboratory at -6 degrees celsius a. In an experiment chemical X is heated until its temperature rises by 15 degrees celsius. Find the new temperature of chemical X. b. In another experiment chemical Y is cooled until its temperature fall by 12 degrees celsius. Find the new temperature of chemical Y. c. Calculate the difference between the final temperature of chemical X and Y. Please explain Click here to see answer by ankor@dixie-net.com(15746)

 Question 610218: I have a homework problem that I can't figure out! Any help with it would be great. The question is "A company sold 75 units of product last month. This month they sold 101 units. What was the percent increase of product sold, relative to the original amount?" Click here to see answer by jim_thompson5910(28715)

 Question 610224: I can't figure this problem out! "Laura started with 7/10 feet of rope. If she received 9/12 from Jane and gave 5/7 to jerome, then how many feet of rope did laura have in the end?" The answer must be be a fraction in simplest terms I keep getting 0.7357 as a decimal??? Is that right-what is that in a fraction? Thanks for any help Click here to see answer by jim_thompson5910(28715)
 Question 610224: I can't figure this problem out! "Laura started with 7/10 feet of rope. If she received 9/12 from Jane and gave 5/7 to jerome, then how many feet of rope did laura have in the end?" The answer must be be a fraction in simplest terms I keep getting 0.7357 as a decimal??? Is that right-what is that in a fraction? Thanks for any help Click here to see answer by scott8148(6628)

 Question 610248: Jerome started with 12/14 cups of flour. If he gave 2/6 to Jane and Nick gave him 6/10 then how many cups of flour did Jerome have in the end? Fraction must be in Simplest form I figured it to be 76/60 or 1 4/15 is this right? Click here to see answer by jim_thompson5910(28715)
 Question 610248: Jerome started with 12/14 cups of flour. If he gave 2/6 to Jane and Nick gave him 6/10 then how many cups of flour did Jerome have in the end? Fraction must be in Simplest form I figured it to be 76/60 or 1 4/15 is this right? Click here to see answer by richwmiller(9144)

 Question 610260: find the missing fraction in simplest terms 3/4 x ?/? = 21/32 Click here to see answer by jim_thompson5910(28715)