The school is selling tickets to a basketball playoff game. On the first day of ticket sales the school sold 45 adult tickets and 16 child ticket for a total of $238. The
school took in $175 on the second day by selling 38 adult tickets and 22 child tickets.
Find the price of a senior adult and the price of a child ticket.

Step-by-step explanation:

The price of senior citizen ticket is $8 and that of children ticket is $14          

Solution:

Let the price of ticket for senior citizen be ‘s’ and for child be ‘c’

Given that on the first day of ticket sales the school sold 3 senior citizen and 1 child ticket for a total of $38

So, an equation can formed which is as follows:

3s + c = 38   eqn 1

On the Second day of ticket sales the school sold 3 senior citizen and 2 child ticket for a total of $52

3s + 2c = 52   eqn 2

Multiply eqn 1 by 2

6s + 2c = 76 eqn 3

Now subtract eqn 2 from eqn 2

6s + 2c = 76

(-) 3s + 2c = 52

3s = 24

s = 8

Plug in s = 8 in eqn 2,

24 + 2c = 52

2c = 28

c = 14

Hence, the price of senior citizen ticket is $8 and that of children ticket is $14                      

this doesn't make sense lol