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?

1. 10
2. 15
3. 100
4. 150

Answer 1

Answer: A (10)

Step-by-step explanation:

Simply equate both the equations

25 + 12.5x=15x

25=2.5x

x=25/2.5

Answer:

x=10

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Answer 2

option (1)

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

Step-by-step explanation:

given system of equations

y = 15x ..(1)

y = 25 + 12.5x..(2)

solving both the equations

substitute the value of y from equation 1 in equation (2)

we get

15x = 25+12.5x

15x - 12.5x = 25

2.5x = 25

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

x =10

hence ,

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

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