The circus is coming to town and cindy is selling tickets. The first day she sold 8 adult tickets and 5 children tickets for a total of 177.50 in sales. The second day she recieved 255.00 for 12 adults tickets and 6 children tickets. What is the price of the children tickets? what is the price of adults tickets? create two algerabric equations

Question

Mathematics

Amy Hardin

2 October, 04:35

The circus is coming to town and cindy is selling tickets. The first day she sold 8 adult tickets and 5 children tickets for a total of 177.50 in sales. The second day she recieved 255.00 for 12 adults tickets and 6 children tickets. What is the price of the children tickets? what is the price of adults tickets? create two algerabric equations

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Answers (1)

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Malachi Berger · Answer 1

Create the equations-

adult ticket cost=x

child ticket cost=y

8x+5y=177.5

12x+6y=255

the second equation can be simplified to

2x+y=42.5

y=42.5-2x

Plug it into the first equation

8x+5 (42.5-2x) = 177.5

8x+212.5-10x=177.5

-2x=-35

x=17.5

Use x to solve y=42.5-2x

y=42.5-36

y=6.5

Adult tickets cost $17.50

Child tickets cost $6.50