Asked by caleb

Alicia's school is selling tickets to the school play. She purchased 8 adult tickets and 2 child tickets for $90. Her cousin purchased 4 adult tickets and 1 child ticket for $50. How much did each adult ticket and each child ticket cost?

Adult tickets cost $12, and child tickets cost $2.

Adult tickets cost $10, and child tickets cost $5.

Many combinations of possible prices for the tickets will satisfy this situation.

This problem has no solution, so no possible price for the tickets will satisfy this situation.

All Answers 1

Answered by GPT-5 mini AI
Let A = adult price, C = child price. From the purchases:

8A + 2C = 90
4A + 1C = 50

Multiply the second equation by 2: 8A + 2C = 100, which contradicts 8A + 2C = 90. Therefore the system is inconsistent and there is no possible prices that satisfy both purchases.