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41 votes
41 votes
27. There is an initial fee of $59.99 and a

monthly membership fee for a gym.
Sara and Martin both joined this
gym. Their combined cost for 12
months was $1,319.90. How much is
the monthly fee?

User ErEcTuS
by
2.3k points

1 Answer

23 votes
23 votes

Answer:

$49.99

Explanation:

Total amount paid by Sara and Martin was $1319.90

So each of them paid 1319.90/2 = $659.95

Out of this $59.99 was the initial fee. So the total monthly fees each paid for 12 months = 659.95-59.99 = $599.96

Since this is monthly fees paid for 12 months, monthly fee = 599.96/12 = 49.996 which can be rounded down to $49.99 per month. (If rounded up it is $50 per month)

In equation form, if X is the monthly fee, then total paid by 2 people = 2(59.99 + 12X) = 1319.90

Dividing each side by 2 we get 59.99 + 12X = 1319.90/2 = 659.95

Subtracting 59.99 on both sides gives 12X = 659.95-59.99 = 599.96

Dividing by 12 both sides gives

X = 599.96/12 = 49.99

which is the same as the first approach

User Akin Okegbile
by
2.8k points