Harry bought 9 movie tickets for a total of $45. Adult tickets cost $6 each and child tickets cost $4.50 each. How many adult tickets did he buy?

Question

Harry bought 9 movie tickets for a total of $45. Adult tickets cost $6 each and child tickets cost $4.50 each. How many adult tickets did he buy?

Answer 1

Let the number of adult tickets be A and child tickets be C

 

A + C = 9

 

$6A + $4.50C = $45

 

Let,s drop the $ for now. Our 2 equations are:

 

A + C = 9

 

6A + 4.5C = 45

 

Solving the 1st equation for C, we have:

 

C = 9 - A

 

Now substitute "C" with "9 - A" in the 2nd equation

 

6A + 4.5C = 45

 

6A + 4.5(9 - A) = 45

 

6A + 40.5 - 4.5A = 45

 

1.5A + 40.5 = 45

 

1.5A = 45 - 40.5 = 4.5

 

1.5A = 4.5

 

A = 4.5/1/5 = 3

 

Harry bought 3 adult tickets.