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 = 15xToe Tappers: y = 25 + 12.5xHow many classes would Gina need to take for the total cost to be the same at both dance studios?
Set the two cost equations equal to find when the studios charge the same amount: 15x = 25 + 12.5x. Subtract 12.5x from both sides to get 2.5x = 25, so x = 10. Gina would need to take 10 classes, choice A.
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