Find the cost of 1 adult ticket and the cost of 1 children's ticket.

Question

Tanya bought 3 adult tickets and 1 child's ticket to a movie for $19.70. Li bought 4 adult tickets and 5 children's tickets for $34.70. Find the cost of 1 adult ticket and the cost of 1 children's ticket.

Answer 1

Let A be the cost of one adult ticket, and C be the cost of one child’s ticket. Then Tanya’s purchase can be written as

3A + C = 19.7

And Li’s as

4A + 5C = 34.7

Using row reduction (or a TI-84 calculator), this system has the solution

A = 5.80, C = 2.30