# 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 611015: Sue earned \$2 for each CD she sells and \$2.50 for each DVD she sells. Sue earned \$950 last week selling CDs and DVDs. Write an equation to represent the number of CDs (c) and DVDs (d) Sue sold last week given that she earned \$950. Click here to see answer by stanbon(57219)
 Question 611015: Sue earned \$2 for each CD she sells and \$2.50 for each DVD she sells. Sue earned \$950 last week selling CDs and DVDs. Write an equation to represent the number of CDs (c) and DVDs (d) Sue sold last week given that she earned \$950. Click here to see answer by ashipm01(26)

 Question 611248: A petroleum company has two different sources of crude oil. The first source provides crude oil that is 25% hydrocarbons, and the second one provides crude oil that is 75% hydrocarbons. In order to obtain 50 gallons of crude oil that is 55% hydrocarbons, how many gallons of crude oil must be used from each of the two sources? Click here to see answer by stanbon(57219)

 Question 611192: having trouble setting this up. The volume of a 5in tall cone varies as the square of the radius the volume is 14.1in^3 when the radius is 1.5in. find the volume when the radius is 3in. Click here to see answer by scott8148(6628)

 Question 611205: Translate the problem situation to a system of equations. Do not solve. The difference between two numbers is 1. Three times the smaller number plus the larger number is 29. What are the numbers? Click here to see answer by SwiftAlbatross(13)

 Question 611370: It takes Edward 8 minutes to chop a pound of garlic and it takes Bella 5 minutes to do the same.how long would it take them to chop one pound of garlic if they were to work together? Click here to see answer by josmiceli(9649)

 Question 611940: Suppose a market research company finds that at a price of p = \$50, they would sell x = 60 tiles each month. If they lower the price to p = \$45, then more people would purchase the tile, and they can expect to sell x = 75 tiles in a month's time. Find the equation of the line using p = mx+b Please help! Thank you. Click here to see answer by stanbon(57219)

 Question 612296: To watch the summer sport competition, a student ticket cost T dollars. An adult ticket cost \$5 more than a student's ticket. Write down in term of t (a) the cost of an adult ticket (b)the total cost ticket, in the simplest form, for a family of two adult and three students. Click here to see answer by josmiceli(9649)

 Question 612605: one number is 2 more than the another number.their sum is 64.what is the number Click here to see answer by mananth(12270)

 Question 612620: the sum of a 2 digit number and number formed by reversing the digits is 88 if the digits differ by 2. find the no. Click here to see answer by richard1234(5390)
 Question 612620: the sum of a 2 digit number and number formed by reversing the digits is 88 if the digits differ by 2. find the no. Click here to see answer by MathTherapy(1421)

 Question 612808: a two digit number is 5 times the sum of its digits and is also equal to 5 more than the product of its digit find the number Click here to see answer by Theo(3458)

 Question 612823: . Select the set of equations that represents the following situation: Mary invested one amount at 5% simple interest, and a second amount at 4% interest, earning \$21.32 in one year. If she had switched the amounts, she would have earned \$25.84. What were the two amounts? 0.05x + 0.04y = 25.84; 0.05x + 0.04y = 21.32 5x + 4y = 21.32; 5y + 4x = 25.84 0.05x + 0.04y = 21.32; 0.05y + 0.04x = 25.84 5x + 4y = 25.84; 5x + 4y = 21.32 Click here to see answer by Theo(3458)

 Question 612835: In 1993, the life expency of males in a certain country was 62.7 years. In 2000 it was 65.5 years. what will the life expency be in 2009? Click here to see answer by stanbon(57219)

 Question 612803: 8 boys and 12 girls can finish the work in 10 days, while 6 boys and 8 girls can finish it in 14 days. Find the time taken by 1 boy alone and 1 girl alone to finish the work. Click here to see answer by ewatrrr(10682)

 Question 612881: a car is traveling with negative velocity and positive acceleration, is the car speeding up or slowing down? explain Click here to see answer by richwmiller(9135)

 Question 612917: While a vacation, Lisa Carr traveled a total distance of 425 miles. Her trip took 8.5 hours. What was her average speed? Click here to see answer by Alan3354(30959)

 Question 613804: Please help me solve this problem: China earned a total of 100 medals at the 2008 Beijing Summer Olympics. The number of gold medals earned was 23 more than the number of bronze medals. The number of bronze medals earned was 7 more than the number of silver medals. How many of each kind of medal did China earn? So far I set up my equation as 100= x+23+x+7 (x counting as the medals). I'm very confused from this point. Thanks! Click here to see answer by scott8148(6628)

 Question 613842: Please help me solve this word problem: How many gallons of a 12% indicator solution must be mixed with a 20% indicator solution to get 10 gal of a 14% solution? I do not even know where to begin working on this problem! Any help is greatly appreciated, thank you! Click here to see answer by scott8148(6628)

 Question 613864: How to solve: In 2000 the cost of a compact car averaged \$12,500. In 2003, the cost of a compact car averaged \$14,450. Assume that the relationship between time and cost is linear. a) Develop a formula for predicting the average cost of a compact car in the future, in the for of C(x)= mx + b, where x represent the number of years after 2000. Click here to see answer by josmiceli(9649)

 Question 613980: the difference of squares of two numbers is 88.If the larger number is 5 less than twicw the smaller one ,then find the two nubers? Click here to see answer by mathslover(135)

 Question 614214: a rectangle is 2x feet long and x+5 feet widw. the area is 600 square feet. what are the dimensions of the rectangle Click here to see answer by scott8148(6628)

 Question 614318: Find two numbers with a sum of 20 and a difference of 14. Click here to see answer by rfer(12644)

 Question 614387: A concert hall divided into two sections has its seating arranged in rows. The inner section, called 'Dress Circle" has seats arranged in rows of 40 and tickets in this section cost \$150 each. The outer section. called "Bleachers" has seats arranged in rows of 70 and tickets cost \$60. There are 10 more rows in the 'Dress Circle' than the 'Bleachers' The seating capacity at the concert hall is 7000 A) Develop equations to represent the seating capacity given for the concert hall. b)Using both the Elimination and Substitution method of Simultaneous Equations, give an algebraic solution the the number of seating in the bleachers and dress circle of the Concert Hall d) If every ticket is sold to a concert at this hall what will the total receipts for the concert amount to? Thank You :3 Click here to see answer by scott8148(6628)

 Question 614492: find the numbers whose sum is 15, if twice the first number minus the second number equals 6. I have: 2x-y=6 anything close? Click here to see answer by richwmiller(9135)

 Question 614494: When graphing y < -6 should the region below the line y = -6 be should the region above the line y = -6 be shaded? Click here to see answer by solver91311(16868)

 Question 614692: Mel paid \$84.00 including 12% tax, for a camera. How much was the camera cost before taxes? Click here to see answer by rfer(12644)

 Question 614978: Cost of car \$158.60 a month and 39 cents a mile for gas, oil and maintenance. Find values for m + b so that y = mx+b models the monthly cost of driving the car x miles. What does the value of b represent? Click here to see answer by lwsshak3(6460)

 Question 615000: sarah invested \$1200 in the bank part at 9% per annum and the remainder at 4% per annum. after one year the 9% investment had \$56 more interest. how much was invested at each rate? Click here to see answer by stanbon(57219)

 Question 614995: find two numbers such that the sum of twice the first and thrice the second is 92 and four times the first exceeds 7 times the second by 2 Click here to see answer by ankor@dixie-net.com(15624)

 Question 615352: Hi... I need help to solve this problem.. Two cars are at a distance of 600 km. These are moving in opposite direction and if there is a difference of 6 km/h in their speeds and after 4 hours distance between them is 123km then find the speed of each car . (form linear equatins) i will b very thankful .. Click here to see answer by lwsshak3(6460)

 Question 615998: I am having problems setting this word problem up. Thank you for all of your help. A bank offers two checking plans. The Anywhere plan charges 25 cents per check. The AccuCheck plan cost \$1.14 a month plus 19 cents per check. For what number of checks will the AccuCheck plan cost less than the Anywhere plan? I am required to choose between the following ranges: a.) Less than 19 checks b.) More than 19 checks c.) 19 or more checks d.) 19 checks Click here to see answer by josmiceli(9649)

 Question 616433: if bob can make 100 feet of rope in 2 hours and tim can make 75 feet of rope in 2 hours, how much rope can bob and tim working together make in 4 hours Click here to see answer by richwmiller(9135)

 Question 616699: Fourteen oranges cost \$2.00. How many oranges can be bought for \$5.00? Click here to see answer by solver91311(16868)

 Question 616685: I am driving 485 miles in an SUV that gets 19 mpg and has a 20 gallon gas tank capacity. The gasoline will cost \$3.65 a gallon. How much will this cost round trip and how often will I need to stop for gasoline round trip? Thank you Click here to see answer by Alan3354(30959)

 Question 616879: Two numbers are such that the ratio between them is 3:5. If one is added to the one and 7 is added to the other, ratio becomes 1:2. Find the numbers. Click here to see answer by ewatrrr(10682)

 Question 616878: Two numbers are such that the ratio between them is 3:5. If one is added to the one and 7 is added to the other, ratio becomes 1:2. Find the numbers. Click here to see answer by ewatrrr(10682)

 Question 617077: when 6 boys were admitted and 6 girls were left from class the percentage of boys in the class increased from 60% to 75%,find the orignal no. of boys and girls in the class.also give the graphical soltuion Click here to see answer by josmiceli(9649)

 Question 617172: A woman's height, H, is related to the length of the femur length f, F, by the formuala f=0.432 h - 10.44 A partial skeleton of a woman is found in which the femur length f is 15.57 inches long. Police find the skeleton in an anrea where a woman slightly over 5 feet (60 inches) tall is missing for over a year. Can the partial skeleton be that of the missing woman? Solve for h Click here to see answer by vleith(2825)

 Question 617326: 2.8 is 14 more than twice a number Click here to see answer by scott8148(6628)

 Question 617515: The perimeter of a rectangle is 90m. The length is 3m more than twice the width. What is the length? What is the width? Click here to see answer by Greenfinch(383)

 Question 617619: Use the form y=mx +b for linear equations. Write the equation for the following relation. E = {(x, y): (2, 15), (5, 30), (8, 45), . . .} Click here to see answer by stanbon(57219)

 Question 617700: A customer buys a tent, 3 sleeping bags, and 2 camp stools for \$150. The price of the tent is 8 times the cost of a camp stool. The cost of a sleeping bag is \$24 more than the cost of a camp stool. Find the cost of each item. Click here to see answer by solver91311(16868)

 Question 617818: oceanside stables offers scenic tours on horseback. a 4-hour tour averaged 3 miles per hour. if the average rate was 2.5 miles per hour for the first 3 hours. what was the average rate for the last hour? how do you set this up? Click here to see answer by ankor@dixie-net.com(15624)

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