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:10 classesStep-by-step explanation:Given equations in the questionDance World: y = 15xToe Tappers: y = 25 + 12.5xWhere,x = number of classesEquate the total cost at both dance studios15x = 25 + 12.5xCollect like terms15x - 12.5x = 252.5x = 25Divide both sides by 2.52.5x / 2.5 = 25 / 2.5x = 10 classesx = number of classes = 10