# 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 40646: Martina leaves home at 9am,bicycling at a rate of 24 miles hour, two hour later john leaves,driving at the rate of 48 miles hour. at what time will john catch up with martina? Click here to see answer by Paul(988)

 Question 40833: At Hacker's Computer Fix It shop, in order to have a laser printer repaired, the basic fee is \$75.00. They also charge \$18.00 per hour for labor. Write an equation that shows the relationship between the total cost (c) and the number of hours (h) it takes to repair laser printer. Please solve and show work. Click here to see answer by fractalier(2101)

 Question 37660: The perimeter of a rectangle is 160 ft. One fourth the length is the same as twice the width. Find the dimensions of the rectangle. Click here to see answer by mszlmb(115)

 Question 40868: Area of Painting: A rectangular painting with a wide of x centimeters has an area of x squared + 50x square centimeters. Find a binomial that represents the length. I tried this and got x + 50 = L My reasoning was A=LW] This is from the book Elementary and Intermediate Algebra 2nd edition. Chapter 5.1 question 92 ISBN Click here to see answer by psbhowmick(529)

 Question 41000: Avoiding a collision. A car is traveling on a road that is perpendicular to a railroad track. When the car is 30 meters from the crossing, the car's new collision detector warns the driver that there is a train 50 meters from the car and heading toward the same crossing. How far is the train from the crossing? Click here to see answer by stanbon(57412)

 Question 40999: Avoiding a collision. A car is traveling on a road that is perpendicular to a railroad track. When the car is 30 meters from the crossing, the car's new collision detector warns the driver that there is a train 50 meters from the car and heading toward the same crossing. How far is the train from the crossing? Click here to see answer by fractalier(2101)

 Question 40986: Some students planned for a get-together. The budget for food was \$500. Five of the students failed to come because of the distance and therefore the cost of food for each member increased by \$5. How many students attended the get-together? Click here to see answer by Paul(988)

 Question 40996: Area of a sail. A triangular saile has an area of x squared + 5x + 6 square meters and a height of x +3 meters. Find the length of the sail's base. I tried this and got 2x+4 = base because A+1/2bh Click here to see answer by Earlsdon(6287)

 Question 41326: Decreasing Cube. Each of the three dimensions of a cube with a volume of y³ cubic centimeters is decreased by a whole number of centimeters. If the new volume is y³-13y² + 54y - 72 cubic centimeters and the new width is y - 6 centimeters, then what are the new length and height? Would you used V=LWH?? I am stuck Click here to see answer by Nate(3500)

 Question 41513: A student thinks that the expression (a+b)2 and a2+b2 are equal to one another. How would you explain to the student why this is not so? Click here to see answer by checkley71(8403)
 Question 41513: A student thinks that the expression (a+b)2 and a2+b2 are equal to one another. How would you explain to the student why this is not so? Click here to see answer by Nate(3500)

 Question 41551: Brian paid \$50 for 12 of honeydews, coconut and watermelons. The unit price for honeydew, coconut and watermelon respectively is \$2, \$5, and \$9. Suppose that Brian bought at least one fruit for each. How many coconuts did Brian buy? I set up a system of equations h + c + w = 12 2h + 5c + 9w = 50 The problem is it keeps cancelling out completely. Where did I mess up or is there a better way? Click here to see answer by AnlytcPhil(1278)

 Question 41755: You are selling tickets to your school musical. Adult tickets cost \$5 and children's tickets cost \$3. You sell 1510 tickets and collect \$6138. Determine how many of each type of ticket were sold. Click here to see answer by tutorcecilia(2152)

 Question 41732: Use a system of equations to solve the following: The sum of two numbers is 54. The difference of the two numbers is 18. Find the two numbers. Click here to see answer by fractalier(2101)

 Question 41904: ```Solve this: What you have to do is replace a letter with a number (No 0 allowed in this one) The same letter must represent the same digit. Different letters must represent different digits. WRONG +WRONG RIGHT``` Click here to see answer by AnlytcPhil(1278)

 Question 41864: speed of a dropped object. If we neglect the resistnace of air, the (downward) speed of an object t seconds after being dropped is given by v=32t feet per second. How many seconds does it take an object to reach a downward speed of 100 miles per hour? recall that there are 5280 feet in one mile, since you will need to express 100 mph in feet per second. Click here to see answer by fractalier(2101)

 Question 40998: Decreasing cube. Each of the three dimensions of a cube with a volume of y to the third power cubic centimeters is decreased by a whole number of centimeters. If the new volume is y-cubed - 13 y-squared + 54y - 72 cubic centimeters and the new width is y - 6 centimeters, then what are the new length and height? Click here to see answer by psbhowmick(529)

 Question 42346: Please help with this question: "A square sheet of paper measures 27 centimeters on each side. What is the length of the diagonal of this paper?" Click here to see answer by AnlytcPhil(1278)
 Question 42346: Please help with this question: "A square sheet of paper measures 27 centimeters on each side. What is the length of the diagonal of this paper?" Click here to see answer by Nate(3500)

 Question 42783: Two cans x and y both contain some water. From x Jim pours as much water into y as y already contains. Then from y he pours as much water into x as y presently has. Finally he pours from x to y as much water as y presently has. Each can now contains 24 ounces of water. how many ounces of water were in each can at the start? Click here to see answer by psbhowmick(529)

 Question 42963: One day, the temperature at 2:00 A.M. was 43F, and by 3:00 the temperature was 56 F. What was the hourly rate of temperature change? Click here to see answer by Nate(3500)

 Question 43030: Which label describes the following? 3x to the power of 2 + 5 = 12 Choices... 1) Linear equation 2)Equation which is not linear 3)Expression Click here to see answer by stanbon(57412)

 Question 43027: Solve the following system: 0.4x - 0.2y = 0.6 2.5x - 0.3y = 4.7 Click here to see answer by stanbon(57412)

 Question 43073: I need to check my math on this one. I always put the answers in the wrong order: Two rainstorms occurred in one week in a certain area. The first storm lasted 20 hours, and the second storm lasted 40 hours, for a total 1800mL of rain. What was the rate of rainfall for each of the two storms if the sum of the two rates was 55mL per hour? 1st storm ____ mL per hour 2nd storm ____ mL per hour Click here to see answer by Paul(988)

 Question 42788: 10) A plane flew 1000 miles with a tailwind in 2 hours. the return trip against the wind took 2 1/2 hours. Find the speed of the wind and the speed of the plane in still air. I have the equations y-x(210)=1000 and x+y(150)=1000 is that correct and how will I solve. 12) Sue miller had to move some supplies. She rented a Portland Rent-A-Truck in April for 5 days and drove 150 miles. She paid \$180 for the rental in April.In May she rented again for 7 days and drove 320 miles. She paid \$274 for the rental in MAy. How much does Portland rent-a-truck charge daily and how much do they charge a mile? Click here to see answer by venugopalramana(3286)

 Question 42781: Karen spent all but \$8.00 of her savings in three stores. In each store she spent \$2.00 less than half of what she had when she went in. How much money did Karen have at the start? Click here to see answer by venugopalramana(3286)

 Question 43220: A bus leaves a station at 1 p.m., traveling west at an average rate of 44 mi/h. One hour later a second bus leaves along the same route, traveling at 54 mi/h. At what time will the two buses be 274 mi apart? Click here to see answer by aaaaaaaa(138)
 Question 43220: A bus leaves a station at 1 p.m., traveling west at an average rate of 44 mi/h. One hour later a second bus leaves along the same route, traveling at 54 mi/h. At what time will the two buses be 274 mi apart? Click here to see answer by AnlytcPhil(1278)

 Question 42780: Helen paid 25 cents for a bag of jellybeans. After giving her brother half the beans, she ate 13. Her sister then ate one more than half the reamining beans, after which there were 3 left. How many jellybeans were in the bag before it was opened? Click here to see answer by fractalier(2101)

 Question 43278: Write an equation for a line through(-3, 5) and (2, 0) Click here to see answer by fractalier(2101)

 Question 43441: In Pennsylvania, the state income tax is directly proportional to gross income. Suppose you were working in Pennsylvania and your state income tax deduction was \$43.50 for a gross monthly income of \$1500. Which of the following mathematical models gives the Pennsylvania state income tax, y, in terms of gross income x? a. y = 0.029x b. y = 34.48x c. y = x/0.029 d. y = -34.48x e. None of the others Click here to see answer by Earlsdon(6287)

 Question 43410: Hi, I need some help with these 2 problems: 1. Find three consecutive odd integers such that, the product of the first and the third minus the product of the first and the second, is 11 more than the third number. 2. The annual interest earned by \$18,000 is \$206 more than the interest earned by \$16,000 invested at a rate 0.8% less than the one corresponding to the \$18,000. What is the rate of interest for each amount? Thanks in advance, Lou Click here to see answer by checkley71(8403)

 Question 43536: I don't understand this word problem. A manufacturer produces both two-slice and four-slice toasters. The two-slice toaster takes 6 h of labor to produce and the four-slice toaster 10 h, The labor available is limited to 300h per week, and the total production capacity is 40 toasters per week. Write a system of inequalities representing this situation. Click here to see answer by psbhowmick(529)

 Question 43962: The distance travelled by a ball rolling down a ramp is given bt s(t) = 2.25t^2, where t is the time in seconds after the ball is released and s(t)is measured in feet. Find the average velocity of the ball on the interval from t=1.0 second to t=1.1 seconds. Click here to see answer by fractalier(2101)

 Question 43985: A weight of 80 pounds stretches a spring 4.5 inches. How far (to the nearest 0.01 inch) will a weight of 125 pounds stretch the spring? Click here to see answer by adamchapman(301)

 Question 43970: Hooke's Law states that the distance a spring stretches varies directly as the weight on the spring increases. A weight of 80 lbs. stretches a spring 4.5 inches. How far (to the nearest 0.01 inch) will a weight of 125 pounds stretch the spring? Click here to see answer by adamchapman(301)