Question

HeELPPPPP! Breana is selling tickets to a choral performance. On the first day of ticket sales, she sold 3 senior citizen tickets and 1 child ticket for a total of $38. Breana took in $52 on the second day by selling 3 senior citizen tickets and 2 child tickets.

What is the price of a senior citizen ticket?

Answer 1

A senior citizen ticket cost $8

Step-by-step explanation:

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Answer 2

Let S = senior citizen and c = child:

Day 1: 3S + 1C = $38

Day 2: 3S + 2C = $52

Difference between day 1 and 2 in money = 52 - 38 = 14

The only difference in ticket amounts was 1 child ticket, so 1 child ticket cost $14.

Using Day 1, subtract 14 from the total and then divide by 3 to find the price of a senior ticket:

38 - 14 = 24

24 / 3 = 8

A senior citizen ticket cost $8