Questions on Word Problems: Linear Equations And Systems Word Problems answered by real tutors!

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Question 149571: Tickets to a movie were sold at $4.00 per adult and $2.50 per student. If 240 tickets were sold for a total of $765.00, how many student tickets were sold?
Click here to see answer by jojo14344(1512)

Question 149574: A and B working together can do a job in 24 hours. After A worked alone for 7 hours, B joined him and together they finished the rest of the job in 20 hours. How long would it take each working alone to do the job?
Click here to see answer by ankor@dixie-net.com(15656)

Question 149530: need assistance please..
a road side stand bought 11 large baskets of eggs from a farmer and sold 39 small baskets of eggs, which hold fewer than a dozen. there were 19 eggs left over. how many eggs does a large basket hold?
Click here to see answer by ankor@dixie-net.com(15656)

Question 149742: Ziggy's Famous Yogurt blends regular yogurt that is 3% fat with its no-fat yogurt to obtain low fat yogurt that is 1% fat. How many pounds of regular yogurt and how many pounds of no-fat yogurt should be mixed to obtain 60 pounds of low-fat yogurt?
Click here to see answer by josmiceli(9686)

Question 149743: The probability that San Francisco plays in the next Super Bowl is nine times the probability that they do not play in the next Super Bowl. The probability that San Francisco plays in the next Super Bowl plus the probability that they do not play is 1. What is the probability that San Francisco plays in the next Super Bowl?
Click here to see answer by Fombitz(13828)

Question 149828: Can you please help with this 3 part problem. The first part is to solve 3x+4y=8 for y The second part is when graphed this equation would be a line. By examining your answer to part a, what is the slope and y-intercept of this line? The third part is using your answer from part a, find the corresponding value of y when x =8
Click here to see answer by Alan3354(30993)

Question 149827: I need a little help with these 2 problems in putting them in rational form.
-3(x + 5)+3=12 and 2/3x + 1/6x=2
Click here to see answer by Alan3354(30993)

Question 149849: 33.) A rental car agency charges $13 per day plus 8 cents per mile to rent a certain car. Another agency charges $16 per day plus 6 cents per mile to rent the same car. How many miles per day will have to be driven for the cost of a car from the first agency to equal the cot of a car from the second agency?
I need help figuring which one is my answer and how to set up the equatioin:
[A] 145 miles per day
[B] 1500 miles per day
[C] 150 miles per day
[D] 1450 miles per day
Click here to see answer by nerdybill(6962)

Question 150177: The cost in dollars of a cab ride in Metro City can be calculated using the expression 6.30 + 3.05d where d is the distance in miles. If a customer travels 6.2 miles, what is the amount of his fare?
Click here to see answer by checkley77(12569)

Question 150176: A large industrial plant produces one ton of concrete every 0.92 minutes. At what rate is the facility producing concrete in tons per hour? Round to the nearest thousandth of a ton per hour.
Click here to see answer by nerdybill(6962)

Question 150415: I need to find the equation for this regression line
x 12 14 10 9 15 8
--------------------
y 29 35 28 23 36 18
Please help

Click here to see answer by Fombitz(13828)

Question 150668: In 1995 the life expectancy of a male in a certain country was 62.6 years In 2001 it was 64.9 years Let E represent the life expectancy in year t and let t represent the number of years since 1995
The linear function E(t) that fits the data is
E(t)= t +
(round to the nearest tenth)
Use the function to predict the life expectancy of males in 2005
E(14)=
(round to the nearest tenth)

Click here to see answer by stanbon(57361)

Question 150833: Systems of Equations and Inequalities
i) Problem: The students from algebra class go for coffee together every day at 9:00 AM. On Monday, Jordan paid $5.45 for three cartons of milk, four cups of coffee, and seven doughnuts. On Tuesday, Ryan paid $5.30 for four milks, two coffees, and eight doughnuts. On Wednesday, Zack paid $5.15 for two milks, five coffees, and six doughnuts.
(1) Set up a system of equations to model this scenario.
(2) Determine the cost of one carton milk, one coffee, and one doughnut by solving the system.
(3) If on Thursday, Taylor had to pay for five milks, two coffees and nine doughnuts, then how much did he spend?
(4) Explain the problem and the steps to solve this problem

Click here to see answer by stanbon(57361)

Question 150872: 4. You and a friend are hiking in the mountains. You want to climb to a ledge that is 20 ft. above you.
The height of the grappling hook you throw is given by the function ( ) 16 32 5 2
h t −t −t . What is the
maximum height of the grappling hook? Can you throw it high enough to reach the ledge?
5. You are trying to dunk a basketball. You need to jump 2.5 ft. in the air to dunk the ball. The height
that your feet are above the ground is given by the function h(t) 16t 12t 2
−. What is the maximum
height your feet will be above the ground? Will you be able to dunk the basketball?
6. A diver is standing on a platform 24 ft. above the pool. He jumps form the platform with an initi8al
upward velocity of 8 ft/s. Use the formula h t −t vt s
2 ( ) 16 , where h is his height above the water, t
is the time, v is his starting upward velocity, and s is his starting height. How long will it take for him
to hit the water?
7. A ball is thrown upward from a height of 15 ft. with an initial upward velocity of 5 ft/s. Use the
formula h t −t vt s
2 ( ) 16 to find how long it will take for the ball to hit the ground.

Click here to see answer by stanbon(57361)

Question 151393: Could you please help me with this word problem?
Last year you could get a hamburger, fries and a cola at Fransisco's Drive-In for $2.90. Since the price of a hamburger has increased %10, the price of fries has increased %30 and the price of cola has increased %40, the same meal costs $3.67. If the price of cola is now 13 cents more than that of a hamburger, what was the price of each item last year?
Click here to see answer by ankor@dixie-net.com(15656)

Question 151574: The length of the longest side of a triangle is twice the length of the shortest side. The length of the middle-sized side is five more than the length of the shortest side. Find the lengths of the sides of the triangle if the perimeter is 33 feet. Draw and label a picture representing this solution.
Click here to see answer by checkley77(12569)

Question 151676: five times the diffrence of a number and one yields the same result as twice the same number increase by three
Click here to see answer by ankor@dixie-net.com(15656)

Question 151786: One grade of oil has 0.50% of an additive, and a higher grade has 0.75% of the additive. How many liters of each must be used to have 1000L of a mixture with 0.65% of the additive?
Click here to see answer by checkley77(12569)

Question 151783: Three chemical reactions each produce oxygen. If the first produces twice that of the second, the third produces twice that of the first, and the combined total is 560 cm^3, what volume is produced by each?
Click here to see answer by jojo14344(1512)

Question 151797: Explain how A(a,b) and B(b,a) may be in different quadrants.
Click here to see answer by vleith(2825)

Question 152282: A rug placed in a 10 ft x 12 ft room covers two-thirds of the floor area and leaves a uniform strip of bare floor around teh edges. Find the dimensions of the rug.
I dont need the answer, just the step-by-step process.
Click here to see answer by nerdybill(6962)

Question 152283: A rental car agency charges $19 per day plus 11 cents per mile to rent a certain car. Another agency charges $25 per day plus 5 cents per mile to rent the same car. How many miles per day will have to be driven for the cost of a car from the first agency to equal the cost of a car from the second agency?
Click here to see answer by ankor@dixie-net.com(15656)

Question 152339: If 4 apples and 2 oranges equals $1 and 2 apples and 3 orange equals $0.70, how much does each apple and each orange cost? There are no quantity discounts.
Click here to see answer by jojo14344(1512)

Question 152460: A shipping box measures 14 1/2 inches long by 9 1/8 inches wide by 8 11/16 inches high. What is the volume of the box in cubic feet? Round to the nearest hundredth of a cubic foot.
Click here to see answer by Edwin McCravy(8909)

Question 152461: After operating for 40 minutes, a small pump has removed 60 gallons of water from a 6000-gallon swimming pool. There is a linear relationship between the gallons of water V remaining in the pool and the pumping time t in minutes. Find the equation for this relationship.
Click here to see answer by ankor@dixie-net.com(15656)

Question 152592: Yesterday there were 5 times as many girls as boys in Miss Miriam's preschool. Today 4 more boys joined the preschool. Now there are 3 times as many girls as boys. How many children are now attending the preschool?
So far I know that if you let "b" equal boys and "g" equal girls the first equation is 5b=g. I also know that I am looking for "x" the total amount of children in the school or b+g=x. I am not sure where the 4 additional boys come in or how to make the equations equal so that I can solve them. I really would appreciate your help!
Click here to see answer by Earlsdon(6287)

Question 152558: A rental car costs $25 plus a fixed charge per mile driven. The total charge for 320 miles of use was $89. Write an equation for the cost, C(in dollars), in terms of the miles driven ,x.
Click here to see answer by jojo14344(1512)

Question 152709: The speed of an airplane in still air is 250 km. The plane travels 632 km
against the wind and 1343 km with the wind in a total time of 15 hours. What is the speed of the wind?
Thank You. I have been at this problem for hours.
Click here to see answer by ankor@dixie-net.com(15656)

Question 152985: Chris has four more than twice as many rocks in his wagon as Gordon has in his wagon. If he gives gordon six rocks, he will have one more than gordon. How many rocks does each boy have in his wagon right now?
Click here to see answer by orca(409)

Question 153059: The drama club sold 1,500 tickets for the end-of-year-performance. Admission prices were $12 for adults and $6 for students. The total amount collected at the box office was $16,200. How many students attended the play?
Click here to see answer by jim_thompson5910(28595)

Question 153060: Tickets to a local movie were sold at $6 for adults and $4.50 for students. If 63 tickets were sold for a total of $358.50, how many adult tickets were sold?
Click here to see answer by jim_thompson5910(28595)

Question 153073: Oriee was too excited about his new toy to sit still. He came to the lunch table, ate 1/6 of his mac and cheese, then left to play with his toy and then came back and ate 1/7 of what was left, ran and played, came back, ate 1/8 of what was left, and so on. After ten episodes of eating then playing, how much of his original mac and cheese was left?
Click here to see answer by stanbon(57361)

Question 153125: if lynn can type a page in p minutes, what piece of the page can she do in 5 minutes
Click here to see answer by oscargut(891)

Question 153015: A new virus is released on the internet; the administrator of a department's Local Area Network ( LAN) is given five minutes by a manager to estimate the impact. The administrator samples 15 of the PCs connected to the LAN, and finds that 9 are infected; use proportion to estimate the number of infected PCs if there are a total of 202 PCs connected to the LAN.
Click here to see answer by jojo14344(1512)

Question 153180: Joe plans to make ropes and matching hats from a bolt of material. The fabric he plans to use is 250 yards long. She will need 2 yards of material for each rope and 1/6 of a yard for each hat She also plans to put decorations on the rope and will need 1 yard of cord for each rope . The hats will not have any fingers . She has 100 yards of cord to use for the decorations.
1. Write two equations to use to solve for how many hats and ropes she can make from the supplies on hand. Let r equal the number of ropes and made and h equal the number of hats made

2. Try to solve this system of equations If you get a solution state what it is. If not describe what the result mean.

Click here to see answer by stanbon(57361)

Question 153219: At its Grand Opening, the Guthrie Market distributed tow different types of souveniers. One type cost 20cents each, andt he other type cost 25 cents each. One thousand souveniers were distributed in all. If the cost of these souveniers was $220. how many of each type were distributed?
Click here to see answer by stanbon(57361)

Question 153283: Tickets for the homecoming dance cost $20 for a single ticket or $35 for a couple. Ticket sales totaled $2280, and 128 people attended. How many tickets of each type were sold?
Click here to see answer by orca(409)

Question 153277: A builder of tract homes reduced the price of a model by 15%. If the new price is $125,000, what was its original price? How much can be saved by purchasing the model?
Click here to see answer by jojo14344(1512)

Question 153276: Donna uses a 10% off coupon at her local nursery. After buying azaleas, bougainvillea, and bags of potting soil, her checkout price before tax is $217.95. How much would she have paid without the coupon?
Click here to see answer by jojo14344(1512)

Question 153278: A typical college student spends 1/3 of her waking time in class, 1/5 of her waking time eating, 1/10 of her waking time working out, 3 hours studying, and 2.5 hours doing other things. How many hours of sleep does the typical college student get?
Click here to see answer by ankor@dixie-net.com(15656)

Question 153379: I am having problems with the following word problem.
Tina Earns $175 per week plus 5% commission on all her sales. Find the minimum amount of sales to ensure that she earns at least $300 per week.

300=175+.5x
This s the equation that I came up with but do not think it is right. Could you please help me with the word problem and solving the equation
Thanks
Megan
Click here to see answer by checkley77(12569)

Question 153377: I am having problems solving this word problem.
The quotient of a number and 3 is the same as the difference
of the number and two. Find the number
I came up with
x+3=y+2
I am not sure if this is a correct equation for this problem. I also need help solving it.
Thanks
Megan

Click here to see answer by nerdybill(6962)

Question 153364: A poster is 25 cm taller than its width. It is mounted on a piece of particle board so that there is a 5 cm border on all sides. If the area of the border alone is 1250 sq cm, what are the dimensions of the poster?
Click here to see answer by ankor@dixie-net.com(15656)

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