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. which equations represents the system that could be used? 1s + 3c = 38 2s + 3c = 52 3s + 1c = 38 3s + 2c = 52 s + c = 38 s + c = 52

Explanation:

Step1: Define variables

Let \( s \) be the price of a senior citizen ticket and \( c \) be the price of a child ticket.

Step2: Analyze first day sales

On the first day, 3 senior tickets and 1 child ticket were sold for $38. So the equation is \( 3s + 1c = 38 \).

Step3: Analyze second day sales

On the second day, 3 senior tickets and 2 child tickets were sold for $52. So the equation is \( 3s + 2c = 52 \).

Answer:

\( 3s + 1c = 38 \)
\( 3s + 2c = 52 \) (the second set of equations)