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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.

 Mar 26, 2021
 #1
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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.

 Mar 26, 2021

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