Question

Question 1 (1 point)

The school that Linda goes to is selling tickets to the annual talent show. On the first day of ticket sales the school sold 4 senior citizen tickets
and 5 student tickets for a total of $102. The school took in $126 on the second day by selling 7 senior citizen tickets and 5 student tickets.
What is the price each of one senior citizen ticket and one student ticket?

Answer 1

8 & 14

Explanation:

Let

Cost of senior tickets be x and students be y

In day 1

4x + 5y = 102

In day 2

7x + 5y = 126

Subtract both

7x + 5y - (4x + 5y) = 126 - 102

7x + 5y - 4x - 5y = 24

7x - 4x = 24

3x = 24

x = 24/3

x = 8

From 1

4(8) + 5y = 102

32 + 5y = 102

5y = 102 - 32

5y = 70

y = 70/5

y = 14