Question

The zoo sold 250 admission tickets on Tuesday. Some of the tickets were child tickets and the rest were adult tickets. A child's ticket cost $12.75 and an adult ticket cost $18.50. If the zoo sold $4739.50 worth of tickets, which system of equations could be used to determine how many adult tickets, a, and how many child tickets, c, were sold?

Answer 1

Explanation:

Let c represent the number of child tickets that were sold.

Let a represent the number of adult tickets that were sold.

The zoo sold 250 admission tickets on Tuesday. Some of the tickets were child tickets and the rest were adult tickets. This means that

c + a = 250 - - - - - - - - - - 1

A child's ticket cost $12.75 and an adult ticket cost $18.50. If the zoo sold $4739.50 worth of tickets, it means that

12.75c + 18.5a = 4739.50 - - - - - - - 2

Equation 1 and equation 2 are the system of equations that could be used to determine how many adult tickets, a, and how many child tickets, c, were sold