Question

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 tickets and 1 child ticket for a total of $38. The school took in $52 on the second day by selling 3 senior citizen tickets and 2 child tickets. Find the price of a senior citizen ticket and the price of a child ticket. ​

Answer 1

Answer: Senior Citizen Ticket = $8, Child Ticket = $12

Explanation:

Let's use S for senior tickets, C for child tickets.

3S + 1C = 38

3S + 2C = 52

Find C in terms of S with the first equation:

C = 38 - 3S

Now substitute the above equation for C in our second equation to find S.

3S + 2(38 - 3S) = 52

3S + 76 - 6S = 52

-3S = -24

S = 8

Now plug this value for S back into the first equation:

3(8) + C = 38

C = 12

So S = $8 and C = $12

Answer 2

3s + c = 38 3s + 2c = 52

Explanation: