Rachel and Sarah belong to different gyms. Rachel's gym charges a one-time registration fee of $15 and then charges $35 per month. Whereas Sarah only pays $25 per month but had to pay a $75 registration fee. After how many months will Rachel and Sarah have spent the same amount on their gym memberships?
Rachel's equation: y=35x+15 x=per month y=money earned Sarah's equation: y=25x+75 Set them equal to each other 35x+15=25x+75 -25x -25x 10x+15=75 -15 -15 10x=60 /10 /10 x=6 At 6 months, Rachel and Sarah will have spent the same amount of money.
