Gina wants to take dance classes. She compares two dance studios to determine which has the best deal for her. Dance World charg
es 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?
Remember you can do anything to an equation as long as you do it to both sides
x+9=18-2x add 2x to both sides 2x+x+9=18+2x-2x 3x+9=18+0 3x+9=18 minus 9 both sides 3x+9-9=18-9 3x+0=9 3x=9 divide both sides by 3 (3x)/3=9/3 (3/3)x=3 1x=3 x=3