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?

Question

Mathematics

Samuel Huynh

2 February, 10:41

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?

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Answers (1)

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Tootsie · 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.