ERMS is selling tickets to a musical performance. On the first day of ticket sales the school sold 8 adulttickets and 4 child tickets for 32 dollars. On the second day they sold 5 adult tickets and 3 child tickets for 21 dollars.

Find the price of an adult ticket and the price of a child ticket.

Guest Mar 26, 2021

#1**0 **

This is simply a system of equations and can be solved using substitution.

Let c represent the price of a child ticket.

Let a represent the price of an adult ticket.

We know:

5a +3c = 21

and

8a + 4c = 32

2a + c = 8

c = 8 - 2a

Now, using substitution:

5a +3c = 21

5a +3(8 - 2a) = 21

5a + 24 - 6a = 21

-a = -3

a = 3

c = 8 - 2a

c = 8 - 2(3)

c = 8 - 6

c = 2

Therefore the price of **an adult ticket is $3 **and the price of **a child ticket is $2**.

ArithmeticBrains1234 Mar 26, 2021