Question

Cody's school is selling tickets to the annual talent show. On the first day of ticket sales the school sold 1 senior citizen ticket and 13 child tickets for a total of $111. The school took in $156 on the second day by selling 12 senior citizen tickets and 9 child tickets. What is the price each of one senior citizen ticket and one child ticket?

Answer 1

The price of one senior citizen ticket is $7 and the price of one child ticket is $8.

What are the linear equations that represent this question?

s + 13c = 111 equation 1

12s + 9c = 156 equation 2

Where:

• c = price of one child ticket
• s = price of one senior citizen ticket

What is the price of one children's ticket?

Multiply equation 1 by 12

12s + 156c = 1332 equation 3

Subtract equation 2 from equation 3

1176 = 157c

c = $8

What is the price of one senior citizen's ticket?

Substitute for c in equation 1:

s + 13(8) = 111

s = 111 - 104

s = $7

To learn more about simultaneous equations, please check: https://brainly.com/question/25875552

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