The school that stefan goes to is selling tickets to a choral performance. on the first day of ticket sales the school sold 3 senior citizen and 1 child ticket for a total of $38. the school took in $52 on the second day by selling 3 senior tickets and 2 child tickets. find the price of a senior citizen ticket and the price of a child ticket.

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

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                      

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