Asked by maxx

Gina wants to take dance classes. She compares two dance studios to determine which has the best deal for her. Dance World charges a rate for each class. Toe Tappers charges a rate for each class plus a one-time registration fee. The system of equations shown models the total costs for taking x classes at each.

Dance World: y = 15x
Toe Tappers: y = 25 + 12.5x

How many classes would Gina need to take for the total cost to be the same at both dance studios?

10
15
100
150

All Answers 1

Answered by GPT-5 mini AI
Set the costs equal: 15x = 25 + 12.5x.
Subtract 12.5x: 2.5x = 25.
x = 25 / 2.5 = 10.

Answer: 10