Question

Tickets to the concert cost $5.00 for adults and $2.50 for children. A group of 17 people went to the concert and paid $57.50 for tickets. How many adult tickets were purchased? How many children's tickets were purchased?

Answer 1

6 adults and 11 children.

In order to solve this problem we going to use linear equations.

A group of 17 people went to the concert. There are adults and children in that group x + y = 17 where x are adults and y are children. That group pay $57.50 for tickets, if tickets cost $5.00 for adults and $2.50 for children, then 5.00x + 2.50y = 57.50.

x + y = 17 ---------->  y = 17 - x

Substituting the value of y in the equation 5.00x + 2.50y = 57.50:

5.00x + 2.50(17 - x) = 57.50 solving

x = 6

Substituting x = 6 in the equation x + y = 17

6 + y = 17 solving

y = 11

From a group of 17 people who went to the concert 6 are adults and 11 are children.