Answer
40 haircuts
Work Step by Step
The 1st location's profit is represented by the expression $45h-1200$.
45 is how much a haircut costs and 1200 is the amount of rent each month.
The second location's profit is represented by the expression $60h-1800$. 60 is how much a haircut costs and 1200 is the amount of rent each month. Set them equal to each other and solve:
$45h-1200=60h$-1800 (subtract 45h from both sides)
$1200=15h-1800$ (add 1200 to both sides)
$600=15h$ (divide both sides by 15 to isolate the variable)
$40=h$
After 40 haircuts, the two barbershop's profits will be equal.
