27. There is an initial fee of $59.99 and a monthly membership fee for a gym. Sara and Martin both joined this g

Question

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?

dangkhoa · Answer

Answer:   $49.99   Step-by-step 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

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