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Adult tickets for a play cost $15 and child tickets cost $7. If there were 26 people at a performance and the theater collected $262 from ticket sales, how many adults and how many children attended the play?

2006-09-17 10:13:37 · 10 answers · asked by suly m 1 in Education & Reference Homework Help

10 answers

16 kids
10 adults

No of Kids=x
No of Adults=y

7x+15y=262
x+y=26 (multiply by 15)
15x+15y=390 (take away first equation)
7x+15y=262
=
8x=128
x=16
therefore number of kids is 16, adults must be 10

2006-09-17 10:16:27 · answer #1 · answered by Anonymous · 0 0

A = adult tickets sold
C = children tickets sold

15A = the amount of money made from the adult tickets
7C = the amount of money made from the children's tickets

A + C = 26 tickets sold

15A + 7C = 262 amount made in ticket sales

Solve the two equations by elimination or substitution.

Hope this helps. Good Luck.

2006-09-17 17:16:49 · answer #2 · answered by SmileyGirl 4 · 0 0

There were 16 adults and 10 children.

2006-09-17 17:15:29 · answer #3 · answered by Joe K 6 · 0 0

you want to set up equations first.
You know that there were 26 ppl. there.
Make children X and adults Y.
you get
X + Y =26

you know that $262 were made. Each adult ticket cost 15 so thats 15Y and each child ticket cost $7 so that's 7X.

7X+15Y=262

Then you can either use linear combination, graphing, or substituition to solve it. (Use both equations to do this)

2006-09-17 17:18:56 · answer #4 · answered by sevcutie010 3 · 0 0

Do your own math.

Start with even number of people, 13 kids, 13 adults. Then go up with the amount of adults because their ticket price is higher. I'm not doing the math for you but I will tell you how.

2006-09-17 17:15:27 · answer #5 · answered by Anonymous · 0 0

16 kids and 10 adults

2006-09-17 17:16:47 · answer #6 · answered by Wakawakawakawakawakawkawakabored 3 · 0 0

Based on the questions you keep asking, it looks like you need a tutor to help you with Algebra. Please get one. Unfortunately, I'm sure some point whore will just spoon feed you the answer. Does your math teacher...or for that matter your parents... know that you cheat on your homework?

2006-09-17 17:15:08 · answer #7 · answered by Anonymous · 0 0

10 ADULT SIXTEEN CHILDREN

2006-09-17 17:16:35 · answer #8 · answered by john_0502000 3 · 0 0

Umm... wish I could help. Math sucks. Sorry.

2006-09-17 17:14:52 · answer #9 · answered by Miss T. 2 · 0 1

its called a calculator
look into it

2006-09-17 17:21:01 · answer #10 · answered by Anonymous · 0 0

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