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

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Question 286537: I am having difficulty setting up my word problems. What is the best way for me to figure out how to write equations, especially like the one below:
The Math club bought 15 pizzas. Cheese pizzas cost $9 each and specialty pizzas cost $15 each. If the total cost is $189, how many of each kind was ordered?
I came up with

$9x+$15y=$189
x+y=15
Click here to see answer by checkley77(12569)

Question 286655: Paul has 30 postcards. He has 4 times as many large postcards as small postcards. How many small postcards does he have? How many large postcards?
Click here to see answer by richwmiller(9144)

Question 286659: Max went to the fair with 5 friends. Some paid $2 each to ride the bumper cars. The rest paid $3 each to ride the roller coaster. They spent $16 in all. How many rode each ride?
Click here to see answer by mananth(12270)

Question 286669: There are 24 kids in Mrs Jones' class. There are twice as many girls as boys. How many boys & girls are there?
Click here to see answer by mananth(12270)

Question 286657: If Angel plants the same number of flowers in each of 5 rows, he will have none leftover. If he plants 1 in the first row & then 1 more in each row than he did in the previous row, he will plant flowers in only 4 rows. How many flowers does he have?
Click here to see answer by richwmiller(9144)

Question 286653: The quotient of 2 numbers is 8. The sum of the same 2 numbers is 72. What are the 2 numbers?
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Question 286828: Find the slope of the line... x=4
Click here to see answer by PRMath(124)

Question 286973: On the last three exams a student scored 86,82,and 92. What score must the student earn on the next exam to have an average above 88?
Click here to see answer by richwmiller(9144)

Question 286971: in a restaurant 30% of the tables are in the non smoking area. If the restaurant has 40 tables how many tables are there in this section?
Click here to see answer by rfer(12730)

Question 287048: The Outdoor Club held a car wash to raise money. They washed cars for $5 each and vans for $7 each. They washed 45 vehicles and earned $243. How many of each type of vehicle did they wash?
So far I put,
Let X represent cars
Let Y represent vans
I can't think of the two equations. Help!
Click here to see answer by dabanfield(803)

Question 287171: Mai is going to rent a truck for one day. There are two companies she can choose from, and they have the following prices.
Company A charges $111 and allows unlimited mileage.
Company B has an initial fee of $75 and charges an additional $0.80 for every mile driven.
For what mileages will Company A charge no more than Company B?
Use m for the number of miles driven, and solve your inequality for m.
Click here to see answer by richwmiller(9144)

Question 287286: The measure of angle A of a triangle is 20 degrees more than the measure of angle B. The measures of the angles are in a ratio of 3 to 4. Find the measure of each.
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Question 287437: Hello all, I have an interesting problem here that I'm not sure how to solve correctly.
The problem involves a rocket being shot into the air where H = Height of the rocket in the given equation. I need to solve for certain conditions etc. but dont know how to write out the equations to rearrange.
Original Equation is: H= -5t^2 + 20t + 15 where H = Height and t = Time.
a) What is the maximum height reached by the rocket, at what time does this occur?
b) Find the time(s) when the rocket is 20 metres above the ground.
c) How long will it take for the rocket to hit the ground?
Help with any of the above will be most appreciated.
Thnaks, -Nick.
Click here to see answer by scott8148(6628)

Question 287515: 1/√(〖1 - ( x / ( y) )〗^2 )X 1/y
Click here to see answer by stanbon(57967)

Question 287511: T-talk cell phone company charges a flat rate of $15 per month plus $0.10 per minute in calls. Mobile serve does not charge a flat rate, but charges $.30 per minute in calls. How many minutes would you have to talk in order for them to charge the same?
Click here to see answer by rfer(12730)

Question 287514: Sam I Am is filling his pool at a rate of 3.2 ft per minute. At the same time, Peter Piper has 16 ft. of water in his pool and is emptying it at a rate of 1.6 ft. per minute. When will they have the same amount of water?
Click here to see answer by ptaylor(2052)

Question 287638: A Bill for a laptop at staples totalled 658.48.How much did the laptop cost if the sales tax is 9.75%?
Click here to see answer by richwmiller(9144)

Question 287638: A Bill for a laptop at staples totalled 658.48.How much did the laptop cost if the sales tax is 9.75%?
Click here to see answer by texttutoring(324)

Question 287508: The perimeter of a rectangular building is 1200 feet. The length of the building is 2 meters less than three times its width. What are the dimensions of the building?
Click here to see answer by checkley77(12569)

Question 287871: write an equation that corresponds to the verbal sentence. then solve the equation.
one-third the sum of twice a number and fifteen is four more than half the difference of three times a number and one.
Ratio, Proportion, and Percent
thanks again i've tried but its confusing me!
Click here to see answer by richwmiller(9144)

Question 287978: Bill is paid hourly. If he works 8 hours he will receive $50. Write an equation for his salary based on the number of hours he works.
Click here to see answer by rfer(12730)

Question 287989: Separate 66 into two parts so that 2/5 of one part exceeds 5/8 of the other part by 10.
Click here to see answer by JBarnum(2044)

Question 287991: Admission tickets to a show were P60 for adults and P25 for children. Receipts for the day showed that 280 persons watched the show. P14,000 were collected. How many children attended that day?
Click here to see answer by richwmiller(9144)

Question 287988: A man is six times as old as his son. In 7 1/2 years, he will be just three times as old as his son will be then. How old is the man?
Click here to see answer by ankor@dixie-net.com(15746)

Question 288095: For what value of the number produced is the equation D=10,000/x^2-4, where D is daily demand and x is number produced per day, undefined?
Click here to see answer by richwmiller(9144)

Question 288152: 5. The director of a summer day camp estimates that 120 children will join if the camp fee is $250, but for each $25 decrease in the fee, five more children will enroll.
Q- Determine the linear equation that will represent the number of children who will enroll at a given fee.

Click here to see answer by checkley77(12569)

Question 288209: Sharon has some one-dollar bills and some five dollar bills. She has 14 bills. The value of the bills is $30. Solve a system of equations using elimination to find how many of each kind of bill she has.
Click here to see answer by mananth(12270)

Question 288207: An electronics store sells DVD players and cordless telephones. The store makes a $75 profit on the sale of each DVD player(d) and a $30 profit on the sale of each cordless telephone(c) The store wants to make a profit of at least $255.00 from its sales of DVD players and cordless phones. Which inequality describes this situation?
Click here to see answer by amnd(23)

Question 288212: A local citizen wants to fence a rectangular community garden. The length of the garden should be at least 110 ft, and the distance around should be no more than 380 ft.
a.) Write a system of inequalities that models the possible dimensions of the garden.
b.) Graph the system to show all possible solutions
Click here to see answer by amnd(23)

Question 288379: The equations 5x+2y=48 and 3x+2y=32 represent the money collected from school concert ticket sales during two class periods. If x represents the cost for each adult ticket and y represents the cost for each student ticket, what is the cost for each adult ticket?
Click here to see answer by nerdybill(7008)

Question 288381: You have $47 to spend at the music store. Each cassette tape costs $5 and each CD costs $10. Write and graph a linear inequality that represents this situation. Let x represent the number of tapes and y the number of CDs.
Click here to see answer by richwmiller(9144)

Question 288498: the product of 5 and 3 more than twice the number is 85. what is the number?
It has to have 5 steps
Data:
Variable:
Plan:
Equation:
Solution:

Click here to see answer by stanbon(57967)

Question 288639: Solve the folllowing system of equations algebraically:
3x+2y=4
4x+3y=7
Click here to see answer by brucewill(101)

Question 288972: The sum of two numbers is greater than or equal to 14. The second number is 2 less than the first. What are the possible values for the first of the two numbers?
In your answer, denote the first number by x .
Click here to see answer by nyc_function(2733)

Question 289107: a 90% antifreeze solution is to be mixed with a 75% solution to make 30 liters of an 80% solution. How many liters of the 90% and 75% solutions should be used?
Click here to see answer by stanbon(57967)

Question 289114: Sheila invested $50,000 in two accounts last year. One account earned 6% and the other earned 7% annual interest. If the total income last year from these investments was $3350, how much was invested in each account?
Click here to see answer by checkley77(12569)

Question 289352: Cedric and Zelda Went Shopping at Price Buster. Cedric Bought 2 jumbo rolls of aluminum foil and 3 packages of AA batteries for a total cost of $21. Zelda Bought 5 Identical Packages of AA Batteries for a total cost of $25. Find the cost of 1 roll of aluminum foil and find the cost of 1 packages of AA batteries
Click here to see answer by j1mmy94(14)

Question 289830: A stamp collection consists of 3,8 and 15 cent stamps. The number of 8 cent stamps is one less than triple the number of 3 cent stamps. The number of 15 cent stamps is six less than the number of 8 cent stamps. The total value of all the stamps is $2.47. Find the number of 8 cent stamps in the collection.
I know the answer I just need help finding an equation to solve it. Thanks.
Click here to see answer by scott8148(6628)

Question 290176: A shopkeeper has two types of coffee beans on hand. One type sells for $3.20 per lb, the other for $7.80 per lb. How many pounds of the $3.20 per lb coffee beans must be used in the mixture to produce 80 lbs of a blend that sells for $5.04 per lb?
Round your answer to 2 decimal places.

Click here to see answer by richwmiller(9144)

Question 290191: how do i solve this problem algebraically?
two airplanes left the same airport traveling in opposite directions. if one airplane averages 400 mph and the other 250 mph, how many hours willl it take for the distance between them be 1625 miles?
i know the answer is 2.5 hours but i dont know how to get there.
Click here to see answer by solver91311(17077)

Question 290246: what is:
11x + 5 = 7x + 33
what does x =
Click here to see answer by stanbon(57967)

Question 290250: what is:
4x + 54 = 8x + 14
what does x=
Click here to see answer by checkley77(12569)

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