Word Problem

Question

Brenda's school is selling tickets to a spring musical. On the first day of ticket sales the school sold 3 senior citizen tickets and 9 child tickets for a total of $75. The school took in $67 on the second day by selling 8 senior citizen tickets and 5 child tickets. What is the price each of one senior citizen ticket and one child ticket?

Answer 1

3s + 9c = 75

8s + 5c = 67

Elimination: multiplies top equation by -5 and bottom equation by 9

-15s + -45s = -375

72s + 45s = 603

57s = 228

s=4

Per first equation: 3(4) + 9c = 75

12 + 9c = 75

9c = 63

c = 7

Senior tickets cost $4

Children tickets cost $7