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?
A: 10
B: 15
C: 100
D: 150

The correct answer is A: 10

Step-by-step explanation:

We know that for Dance World the equation is y=15x and for Toe Tapper it is y=25+12.5x

Make a chart with both dance companies and compare the solutions to each equation. Like the one below.

        Dance World      /      Toe Tappers

A:10              $150        /       $150              

B:15              $225       /        $212.5

C:100            $1500      /       $1275

D:150             $2250     /       $1900

In conclusion, A:10 is the correct answer as both dance companies cost the same for 10 classes.

Sorry if this is really late, this is for the people who have the same question and need an answer too.

A 10

Step-by-step explanation:

15x = 25 + 12.5x

2.5x = 25

x= 10

konichiwa~! my name is zalgo and i am here to answer your anime-related question today. more than likely, kirishima would kill izuku, marry mino and kiss momo. all of this would be my opinion by the way. (and i am also a weeb lol)

i hope this you! : d

stay and stay proud! " - zalgo

(and do you think you can mark me as brainliest? i'd greatly appreciate it! arigato~! )