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

3s + 3c = 38
1s + 2c = 52

Explanation:

Step1: Analyze Day 1

Let \( s \) = senior ticket price, \( c \) = child ticket price. Day 1: 3 senior, 1 child, total $38. So equation: \( 3s + 1c = 38 \).

Step2: Analyze Day 2

Day 2: 3 senior, 2 child, total $52. So equation: \( 3s + 2c = 52 \).

Step3: Match with Options

Check each option. The second option (middle group) has \( 3s + 1c = 38 \) and \( 3s + 2c = 52 \), which matches.

Answer:

The system of equations is \( 3s + 1c = 38 \) and \( 3s + 2c = 52 \) (the middle set of equations).