Question

The school that Sarawong goes to is selling tickets to a play. On the first

day of ticket sales the school sold 13 senior citizen tickets (s) and 5 child

tickets (c) for a total of $125. The school took in $85 on the second day

by selling 5 senior citizen tickets and 5 child tickets. What is the price

each of one senior citizen ticket and one child ticket?

Write the two equations to solve the system first. Use s for senior

citizens and use c for child. Show all work using the method you prefer.

Equations:

Answer 1

12s + 5c = 125

5s + 5c = 85

price of senior citizen ticket = $5.71

price of a child's ticket = $11.29

Explanation:

This question can be solved using simultaneous equation

12s + 5c = 125 equation 1

5s + 5c = 85 equation 2

subtract equation 1 from 1

7s == 40

s = 40/7 = 5.71

Substitute for s in equation 1

12(5.71) + 5c = 125

68.57 + 5c = 125

5c = 125 - 68.57

5c = 56.43

c =11.29