Question

Audrey has $120 to spend on a tennis racket and lessons. The racket cost $45 and the lesson cost $15 per hour. Define a variable. Then write and solve an equation to find how many hours of lesson she can afford.

Answer 1

You have to model the situation by doing 120=15x+45, then subtract 45 to get 15x= 75, then divide by 15 to get 5 lessons.

Answer 2

Money Audrey has: $120
Cost of the racket: $45
Cost for lesson hour: $15
Hours Audrey can afford: x

120 = 45 + 15 * x
120 = 45 + 15x / - 45 (both sides)
75 = 15x / ÷ 15 (both sides)
x = 5

Answer: Audrey can afford 5 hours of the lessons.

Doublecheck:

$45 + 5 * $15 = $45 + $75 = $120, so it's correct :)