Question

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?

Answer 1

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.