gina wants to take dance classes. she compares two dance studios to determine which has the best deal for…

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

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

Answer

Explanation:

Step1: Set the two equations equal

Set $15x = 25+12.5x$.

Step2: Subtract $12.5x$ from both sides

$15x - 12.5x=25+12.5x - 12.5x$. $2.5x = 25$.

Step3: Solve for $x$

$x=\frac{25}{2.5}=10$.

Answer:

10