Devon purchased tickets to an air show

Question

Devon purchased tickets to an air show for 9 adults and 2 children. The total cost was $252. The cost of a child's ticket was$6 less than the cost of an adult's ticket. Find the price of an adult's ticket and child's ticket.

Answer 1

The first part of any word problem is to break it down into equations that can be solved. In this case, we know we are solving for the price of a single adult ticket (A) and a single child ticket (C).

 

We know that 9 adults + 2 children is 252, so we have:

 

9A + 2C = 252

 

We also know that a child's ticket is 6 less than an adult's ticket, so we have:

 

C = A - 6

 

Since we have two different equations, and we are solving for two values, we know we now have enough information to solve the problem.

 

Since the second equation has already solved for C, just substitute (A-6) into C in the first equation:

 

9A + 2(A-6) = 252

9A + 2A - 12 = 252

11A = 264

A = 24

 

Now that we know that A is, substitute 24 for A in either equation to solve for C.

 

C = 24 - 6 = 18.

 

Therefore, A = 24, C = 18.