Questions on Word Problems: Evaluation, Substitution answered by real tutors!

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Question 241816: a movie theatre is having a "ladies night" special. Ladies tickets cost: $5.50; Mens tickets cost $7.50. If 175 people attend a showing of the movie "Love 2 you" that takes in $1150.50, how many of the people were ladies?
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Question 242821: The sum of three, consecutive even integers is 28 more than the second integer. What are the three intergers?
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Question 242819: Your financial institution charged you 12% simple interest on a one year loan. If your total payback, including interest, is $2464, how much did you originally borrow?
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Question 242826: Betty bought a car which was $1543.00 more than the other car that Joan bought. Paula bought a car that cost $977.00 less than Joans. The total price of all three cars was $62468.00 How much did each girl's car cost?
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Question 242822: Alexander an artist, welded 3 pieces of bronze together to create a project. The second piece is one-half of the first piece. The third piece is 4 less that the first piece. The total length of the pieces is 86 inches. How long was each piece?
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Question 243260: two numbers are in the ration 3:8. If the first number is increased by 4 and the second number is decreased by 6, the resulting numbers are in the ratio of 1:2. Find the original numbers.
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Question 243257: It takes mr Hack 15 minutes to bake some cupcakes and it takes mr babbit 20 minutes to bake the same amount of cupcakes. The cupcakes all have to be yellow cake with white icing and then rainbow sprinkles on top of the icing. How long will it take them if they both work together to make some cupcakes?
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Question 243244: find three consecutive positive odd integers such that the square of the sum of the first two exceeds the square of the third by 63
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Question 243265: One base of a trapezoid measures 5 cm. more than the other while the altitude is 4/3 times as long as the shorter base. Find the lenghts of the bases if the area is 100 cm².
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Question 244172: the sume of two numbers is 28, their difference is 2. what are the numbers?
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Question 245725: Solving systems by substitution
Vong grilled 21 burgers at a block party. He grilled the same number of pounds of turkey burgers as hamburgers. Each Turkey burger weighed 1\4 pound and each hamburger weighed 1\3 pound. How many of each did Vong grilled.
I think I need two equations:
t + h = 21
Can't figure out the rest...

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Question 245965: the area A of a triangle with base b and height h is given by A = 1/2bh. Find the area when b = 15 and h = 10
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Question 247671: The perimeter of a rectangle is 106 mm. The length is one more than three times the width. What is the area?
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Question 247605: Need to solve the following problem in 2 different ways:
The Math Club sold roses and tulips this year for Valentine's Day. The number of roses sold was 8 more than 4 times the number of tulips sold. tulips were sold for $2 each and roses for $5 each. The club made $414.00. How many roses were sold?

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Question 248255: The hang-time function V(T) = 48T2, relates vertical leap to hang time. A player has a vertical leap of 29 in. What is his hang time?
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Question 248668: Karin biked at 13 mph for a time but got a flat tire. She then walked 5pmh. She traveled a total of 93 miles. Had she biked the whole time, she would have gone 117 miles. How many hours did she walk?
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Question 248666: Anne and Nancy use a metal alloy that is a 24.9% copper to make jewelry. How many ounces of 20% alloy must be mixed with a 27% alloy to form 100 ounces of the desired alloy?
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Question 249600: A cruise boat travels 48 miles downstream in 3 hours and returns upstream in 6 hours. Find the rate of the stream.
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Question 249598: The difference between two numbers is 4. Two times the smaller number minus four times the larger number is -28. What are the numbers?
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Question 249597: Ron and Kathy are ticket sellers at their class play, Ron handling student tickets that sell for $2 each and Kathy selling adult tickets for $5.50 each. If their total income for 30 tickets was $105.50, How many tickets did Ron sell?
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Question 249637: what is x+y=5
-2x-2y=-10

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Question 250123: solve by the substitution method
x+y+8
-2x+y=2

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Question 250127: solve by the elimination method
2x-4y=20
7y=16-5x

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Question 250118: The volume v of gas varies inversely as the pressure p on it. The volume of a gas is 240cm^3 under a pressure of 23 kg/cm^2 What will be its volume under pressure of 30 kg/cm^2?
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Question 250119: Given the values of x and y, find an equation of variation in which y varies directly as x. y=8, when x=5.
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Question 250216: The amount of money that Pablo makes in a given week varies directly as the number of hours he works that week. In a week in which he works 38 hours, he makes $589. How much will be make in a week in which he works 46 hours?
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Question 250266: My son has a simple problem that I cannot solve.
A team has a car wash. They charge $3 for cars and $5 per truck. They was 19 vehicles and make a total of $71.00. How many cars and trucks are washed?

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Question 250597: A boat can go 33 mph in still water. It takes as long to go 300 miles upstream as it does to go downstream 360 miles. how fast is the current?
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Question 250599: Joe has a collection of nickels and dimes that is worth 6.00. If the number of dimes were doubled and the number of nickels were increased by 6, the value of the coins would be $9.90. How many dimes does he have?
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Question 250598: A cruise boat travels 48 miles downstream in 3 hours and returns upstream in 6 hours. Find the rate of the stream.
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Question 250596: A figure skater must trace a figure eight on the ice that consists of two perfect circles, each with a radius of 11 ft. How far does the skater go one time around the figure eight?

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Question 250609: Jack usually mows his lawn in 5 hours. Mary can mow the same yard in 3 hours. how much time would it take for them to mow the lawn together?
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Question 250609: Jack usually mows his lawn in 5 hours. Mary can mow the same yard in 3 hours. how much time would it take for them to mow the lawn together?
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Question 250609: Jack usually mows his lawn in 5 hours. Mary can mow the same yard in 3 hours. how much time would it take for them to mow the lawn together?
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Question 251350: Jim can fill a pool carrying buckets of water in 30 minutes. Sue can do the same job in 45 minutes. Tony can do the same job in 1 1/2 hours.
How quickly can all three fill the pool together?

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Question 251371: If Sam can do a job in 4 days that Lisa can do in 6 days and Tom can do in 2 days, how long would the job take if Sam, Lisa and Tom worked together to complete it?
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Question 251366: John is traveling to a meeting that is 28 miles away. He needs to be there in 30 minutes. How fast does he need to go to make it to the meeting on time?
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Question 251439: The Everton College paid $1862 for an order of 48 calculators. The store paid $11 for each scientific calculator The others all graphing calculators cost the store $57 each how many of each type of calculator was ordered? The store ordered ____ scientific and _____ graphing calculators.
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Question 251856: Suppose you are in the market for a new home and are interested in a new housing community under construction in a different city.
a) The sales representative informs you that there are two floor plans still available, and that there are a total of 56 houses available. Use x to represent floor plan #1 and y to represent floor plan #2. Write an equation that illustrated the situation.
b) The sales representative later indicates that there are 3 times as many homes available with the second floor plan than the first. Write an equation that illustrates this situation. Use the same variables that you used in part a.
c) Use the equations from part a and b of this exercise as a system of equations. Use substitution to determine how many of each type of floor plan is available. Describe the steps you used to solve the problem.

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Question 252196: Evaluate a^3-5b+b/ac for a=-2, b=6, and c=3
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Question 250851: Shopping at Savers Mart, Lisa buys her children four shirts and three pairs of pants for $85.50. She returns that day and buys three shirts and five pairs of pants for $115.00. What is the price of each shirt and each pair of pants?
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Question 252383: 2ax-5x=2 then x is equivalent to?
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Question 249726: The volume v of gas varies inversely as the pressure p on it. The volume of a gas is 240cm^3 under a pressure of 23 kg/cm^2 What will be its volume under pressure of 30 kg/cm^2?
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Question 250842: At an ice cream parlor, ice cream cones cost $1.10 and sundaes cost $2.35.
One day, the receipts for a total of 172 cones and sundaes were $294.20. How many cones were sold?

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Question 250848: You purchase 8 gal of paint and 3 brushes for $152.50. The next day, you purchase 6 gal of paint and 2 brushes for $113.00. How much does each gallon of paint and each brush cost?
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