Answer:
Child's ticket is $14. [14, without the symbol]
Senior ticket is $8. [8, without the symbol]
(WHAT???)
Explanation:
Let S and C stand for the numbers of Senior and Child tickets sold.
We can write equations for both days:
Day 1: 3S + 1C = 38 [sold 3 senior citizen tickets and 1 child ticket for a total of $38]
Day 2: 3S + 2C = 52 [$52 on the second day by selling 3 senior citizen tickets and 2 child tickets]
Since both equations has a "3S" term, we can easily subtract one from the other:
3S + 1C = 38
-3S - 2C = -52
- C = -14
C = 14 The price of a children's ticket is $14.
Use C = 14 in either equation to find S:
3S + 1C = 38
3S + 14 = 38
3S = 24
S = 8 The price of a senior ticket is $8.