# 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 141809: A can of orange juice is taken from the freezer and gradually warmed. The equation, T=3x-6 gives the Celsius temperature T of juice x minutes after it is removed from the freezer. Find and discuss the meaning of the T-intercept (i.e., the intercept on the vertical axis). Click here to see answer by stanbon(57303)

 Question 142126: the product of two positive numbers is 1, and the sum of their squares is 82/9. Find these numbers. (My last post didn't supply enough info, sorry.) Click here to see answer by edjones(7569)

 Question 142135: Scores on the Scholastic Aptitude Test (SAT), a well known test taken by high school students are often converted to standardized scores or z-scores. The formula for determining a z-score on a mathematical portion of the SAT is given by z=(x-518)/115 where x is an individual score on the test. The value 518 is the national average score on the test, whereas 115 is a measure of how spread out the scores are. 1. Solve this formula for x in terms of z. 2. If your score is 2.2, what was your score on the test? Click here to see answer by stanbon(57303)

 Question 142330: If a + b = 43 and a + c = 30 and b + c = 55 a is the same number in all equations b is the same number in all equations c is the same number in all equations what are a, b, and c Thank you Click here to see answer by checkley77(12569)

 Question 142560: joelle walks to the store @ 4.5 mph.She walks back at 3 mph. total walking time is one hour.how long did it take her to walk to the store? Click here to see answer by stanbon(57303)

 Question 142587: the width of a rectagular gate is 2 meters larger than its height. The diagonal brace measures the square root of 6 meters. Find the width and height. Click here to see answer by vleith(2825)

 Question 142751: The area of a room is 20 square metre. If the length is increased by 3 metre and the width is increased by 1 metre, the room will double in area. Determine the original dimensions of the room. Click here to see answer by stanbon(57303)

 Question 142746: A Taxi driver takes R360 in fares per trip with a full load of passengers. If he increases his fare by R10 per passenger he can make the same amount where carrying three passengers less. What will the increased fare amount to, and how many passengers did he originally carry? Click here to see answer by stanbon(57303)

 Question 142797: A bricklayer and an electrician together spend 90 hours working on a new house. If the bricklayer earns \$12 per hour, the electrician earns \$16 an hour, and the owner pays them a total of \$1350 for their work, how many hours does each worker spend on the house? Click here to see answer by ptaylor(2048)

 Question 142774: the new bell laptop computers are on sale for 20% off, and the sales tax rate is 7%. Suppose that two ways can be used to compute the selling price of a laptop: A) Deduct 20% from the regular price and then add 7% to this amount. B) Add 7% tax to the regular price and then deduct 20% of the total. Explain your answer. Click here to see answer by jojo14344(1512)

 Question 142975: Help!! Someone I am having trouble with word problem, by turning this into an algebraic equation in order to solve it: A university bookstore recently sold a wirebound graph-paper notebook for \$2.50 and a college-ruled notebook for \$2.30. At the start of spring semester, a combination of 50 of the notebooks were sold for a total of 118.60. How many of each type were sold? Thank you in advance. Click here to see answer by oscargut(891)

 Question 142979: Help!! Someone I am having trouble with word problem, by turning this into an algebraic equation in order to solve it: A shopper buys three oranges and five lemons for \$10.26, while a second shopper buys four lemons and six oranges for \$11.16. What is the price of each fruit? If i'm not mistaken, you have to solve for each shopper and then divide. Am i right? Thank you in advance. Click here to see answer by stanbon(57303)
 Question 142979: Help!! Someone I am having trouble with word problem, by turning this into an algebraic equation in order to solve it: A shopper buys three oranges and five lemons for \$10.26, while a second shopper buys four lemons and six oranges for \$11.16. What is the price of each fruit? If i'm not mistaken, you have to solve for each shopper and then divide. Am i right? Thank you in advance. Click here to see answer by BrittanyM(80)

 Question 143134: I need help with this word problem, I don't know how to set up the system of linear equations. Any help would be appreciated. Thanks. Walt made an extra \$9000 last year from a part-time job. He invested part of the money at a 9% annual rate of interest, and the rest at an 8% annual rate of interest. At the end of the year, he made a total of \$770 in interest. How much was invested at 8%? Click here to see answer by oscargut(891)

 Question 143123: Word problems are my biggest issues when doing algebra. i don't know what sequence i need to use to turn them into an equation to even begin to solve them. Someone, please help. What do i do? A man goes into a grocery store and buys a grapefruit and a toy ball. A 7% tax is applied to the price of non-food items. If the total bill is \$5.15, including \$0.18 in tax on the toy ball, what are the prices of the grapefruit and the ball? Click here to see answer by checkley77(12569)

 Question 143135: I'm stuck with this word problem, any help toward solving this system of linear equations would be appreciated. Thank you. An express and local train leave GraysLake at 3 P.M. and head for Chicago 50 miles away. The express travels twice as fast as the local and arrives 1 hour ahead of the local. Find the speed of each train. Click here to see answer by scott8148(6628)

 Question 143132: 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. Any help with this word problem would be appreciated. Click here to see answer by pcsp_kumat(6)

 Question 143228: I need some help with this word problem, setting it up to solve. Thanks. Joe has a collection of nickels and dimes that is worth \$5.65. If the number of dimes were doubled and the number of nickels were increased by 8, the value of the coins would be \$10.45. How many dimes does he have? Click here to see answer by vleith(2825)
 Question 143228: I need some help with this word problem, setting it up to solve. Thanks. Joe has a collection of nickels and dimes that is worth \$5.65. If the number of dimes were doubled and the number of nickels were increased by 8, the value of the coins would be \$10.45. How many dimes does he have? Click here to see answer by solver91311(16877)

 Question 143350: I believe I have the correct answer, but want to be sure. Nan can rent a van for either \$50 per day with unlimited mileage or \$35 per day with 75 free miles and an extra charge of .20 for each mile over 75. For what numbers of miles traveled would the unlimited mileage plan save Nan money? Answer: at least 150 miles Solution: 50 is greater than or equal to 35+.2(x-75) To eliminate the decimal, I multiply 50, 35 and .2 by 100: 5000 is greater than or equal to 3500+20(x-75) Solving for x x is greater or equal to 150 Did I go about this correctly? Click here to see answer by stanbon(57303)

 Question 143501: Six times as many grandstand tickets(g) as box-seat tickets(b) were sold for the baseball game. Grandstand tickets cost \$15 and box-seat tickets cost \$24. The total amount of ticket sales for grandstand and box-seat tickets was \$90,744. a) write a system of equations that describes the above situation b) solve the system of equations you wrote in part a to find the number of box-seat tickets and grandstand tickets that were sold Click here to see answer by josmiceli(9669)

 Question 143371: For a student club fundraiser, the number of \$2.00 raffle tickets printed was three times the number of \$5.00 raffle tickets. If all of the tickets are sold, receipts from the \$5.00 tickets will be \$50.00 less than those from the \$2.00 tickets. How many \$5.00 tickets were printed? Click here to see answer by ankor@dixie-net.com(15648)

 Question 143963: Find the midpoint of the line segment PQ P(4,9), Q(1,9) Click here to see answer by nabla(475)

 Question 143965: If M(-3,3) is the midpoint of segment PQ and the coordinates of P are (-5,5), find the coordinates of Q. Click here to see answer by nabla(475)

 Question 144095: Write the formula for the slope of the line thrugh (x1, y1) and (x2, y2)._______ Click here to see answer by nabla(475)

 Question 144188: Please help... I'm having difficulty finding the right formula for this word problem. The width of a rectangular gate is 2 meters (m) larger than its height. The diagonal brace measures sqrt 6 m. Find the width and height.. Any assistance is greatly appreciated. Click here to see answer by jim_thompson5910(28550)
 Question 144188: Please help... I'm having difficulty finding the right formula for this word problem. The width of a rectangular gate is 2 meters (m) larger than its height. The diagonal brace measures sqrt 6 m. Find the width and height.. Any assistance is greatly appreciated. Click here to see answer by stanbon(57303)
 Question 144188: Please help... I'm having difficulty finding the right formula for this word problem. The width of a rectangular gate is 2 meters (m) larger than its height. The diagonal brace measures sqrt 6 m. Find the width and height.. Any assistance is greatly appreciated. Click here to see answer by scott8148(6628)

 Question 144234: The owner of a daycare center plans to have a rectangular sandbox built in the outdoor play area. The width (in feet) of the sandbox is given by the polynomial 2x-5. If the length of the sandbox is designed to be 10 feet longer than the width, write a polynomial that represents the area of the sandbox. Click here to see answer by jim_thompson5910(28550)

 Question 144294: a toyota corolla gets approximately 35mpg on the highway and 27 mpg in the city you drove 412 miles on a full tank of gas (13.2 gallons) approimately how many miles were driven in the city and on the highway. i need to know how to pull out the linier equation to do substitution addition or elimination with it Click here to see answer by stanbon(57303)

 Question 144296: you have volunteered to make a nut mix for a dinner party. the host telles you need to make enough mix for 40 people ( each person will eat 1/8 pounds of mix each) shelled walnutes cost \$7.49 per pound and milk chocolate coverd cashews cost \$6.99 per pound. you spend a total of \$35.70 ow many pounds of each nut did you purchase. i neeed to pull out a equation to solve with addition substitution or elimination Click here to see answer by stanbon(57303)
 Question 144296: you have volunteered to make a nut mix for a dinner party. the host telles you need to make enough mix for 40 people ( each person will eat 1/8 pounds of mix each) shelled walnutes cost \$7.49 per pound and milk chocolate coverd cashews cost \$6.99 per pound. you spend a total of \$35.70 ow many pounds of each nut did you purchase. i neeed to pull out a equation to solve with addition substitution or elimination Click here to see answer by checkley77(12569)

 Question 144110: If 3x+y=90 and 10<=x<=25 what is the least possible value of y? And alss slove for d d=3x/y*y+1/x Click here to see answer by Edwin McCravy(8906)

 Question 144398: I had 2 bottles of soda. I bought 3 cases of soda. Then I had 32 bottles of soda. How many bottles of soda were in a case? Let t stand for the number of bottles of soda in a case. Click here to see answer by vleith(2825)

 Question 144445: Steve traveled 200 miles at a certain speed. Had he gone 10 mph faster, the trip would have taken 1 hour less. Find the speed of his vehicle. How would you turn this into an algebraic equation and solve it. I'm sorry if i seem to be a total idiot. But i have no CLUE. Please help me someone!! Click here to see answer by stanbon(57303)
 Question 144445: Steve traveled 200 miles at a certain speed. Had he gone 10 mph faster, the trip would have taken 1 hour less. Find the speed of his vehicle. How would you turn this into an algebraic equation and solve it. I'm sorry if i seem to be a total idiot. But i have no CLUE. Please help me someone!! Click here to see answer by Alan3354(30993)

 Question 144512: Freeport McMoran predicts that in 2010 world grain supply will be 1.8 trillion metric tons and the supply will be only 3/4 of world grain demand. What will the world grain demand be in 2010? Click here to see answer by checkley77(12569)

 Question 144606: The perimeter of a rectangle is 54cm. Two times the height is 3cm more than the width. Find the length of the height and the length of the width. this is the way i've been trying to solve this problem: P=2l+2w, right? we have the perimeter. 54=(2L+3)+2W. Is this right? I'm stuck! Click here to see answer by ankor@dixie-net.com(15648)
 Question 144606: The perimeter of a rectangle is 54cm. Two times the height is 3cm more than the width. Find the length of the height and the length of the width. this is the way i've been trying to solve this problem: P=2l+2w, right? we have the perimeter. 54=(2L+3)+2W. Is this right? I'm stuck! Click here to see answer by shahid(44)
 Question 144606: The perimeter of a rectangle is 54cm. Two times the height is 3cm more than the width. Find the length of the height and the length of the width. this is the way i've been trying to solve this problem: P=2l+2w, right? we have the perimeter. 54=(2L+3)+2W. Is this right? I'm stuck! Click here to see answer by Alan3354(30993)

 Question 144627: 1. In a Chinese restaurant the menu list 8 items in column A and 6 items in column B. a. To order a dinner, the diner is told to select 3 items from column A and 2 from column B. How many dinners are possible? b. How many dinners are possible if the diner can select up to 3 from column A and up to 2 from column B? Assume at least one item must be included from either A or B. 2. The average resident of a certain East Coast suburb spends 42 minutes per day commuting, with a standard deviation of 12 minutes. Assume a normal distribution. Find the percent of all residents of this suburb who have no more than 35 minutes per day commuting time. Please HELP Click here to see answer by Edwin McCravy(8906)

 Question 144667: The sum of the legs of a right triangle is 17 in. The longer leg is 2 more than twice the shorter. Th hypotenuse is 13 in. Find the length of each leg. Isn't the formula for a right triangle a^2 +b^2=c^2? From what I understand this is the way I would write to solve, but it doesn't make sense to me. 17=a^2+b^2+2 a^2+b^2= 13^2 Thanks for your help. Click here to see answer by solver91311(16877)
 Question 144667: The sum of the legs of a right triangle is 17 in. The longer leg is 2 more than twice the shorter. Th hypotenuse is 13 in. Find the length of each leg. Isn't the formula for a right triangle a^2 +b^2=c^2? From what I understand this is the way I would write to solve, but it doesn't make sense to me. 17=a^2+b^2+2 a^2+b^2= 13^2 Thanks for your help. Click here to see answer by scott8148(6628)
 Question 144667: The sum of the legs of a right triangle is 17 in. The longer leg is 2 more than twice the shorter. Th hypotenuse is 13 in. Find the length of each leg. Isn't the formula for a right triangle a^2 +b^2=c^2? From what I understand this is the way I would write to solve, but it doesn't make sense to me. 17=a^2+b^2+2 a^2+b^2= 13^2 Thanks for your help. Click here to see answer by ankor@dixie-net.com(15648)

 Question 144660: A rectangle has a diagonal that is 3.6 feet longer than the length and 7.1 feet longer than the width. What are the dimensions of the rectangle? I would appreaciate it if someone could help me solve this problem. This is what I've done so far but I know its not correct. Thank you for your time. X^2 + (X+7.1)^2 = (X+3.6)^2 X^2 + X^2 + 14.2 + 50.41 = X^2 + 2X + 3.6 X^2+16.2X + 52.6=0 (X=13.15)(X=4.05) Click here to see answer by scott8148(6628)

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