Question

maria's school is selling tickets to a choral performance. on the first day of ticket sales the school sold 4 adult tickets and 1 child ticket for a total of $47. the school took in $58 on the second day by selling 5 adult tickets and 1 child ticket. what is the price each of one adult ticket and one child ticket?

Answer 1

For this case, the first thing we must do is define variables.
We have then:
x = price of adult tickets
y = price of child tickets
We write the system of equations:
4x + y = 47
5x + y = 58
Solving the system of equations we have:
x = 11
y = 3
Answer:
11 $ price of adult tickets
3 $ price of child tickets