Question

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

Explanation:

Step1: Set costs equal (same total cost)

$15x = 25 + 12.5x$

Step2: Isolate x terms

$15x - 12.5x = 25$

Step3: Simplify left side

$2.5x = 25$

Step4: Solve for x

$x = \frac{25}{2.5}$

Answer:

10