A group of 9 people chipped in for a gift. Denise purchased the gift and found t

Question

A group of 9 people chipped in for a gift. Denise purchased the gift and found that its cost was less then expected. To calculate everyone's refund, Denise was suppose to subtract 3 from the amount collected to cover shipping and then divide the result by 9. instead, she subtracted the 9 and divided the result by 3 which gave her an answer of 43. She realized that she made a mistake and did the calculation the correct way.

How much will everyone get back (I.e. What was her answer when she did the problem correctly)?

Explanation / Answer

Let the total amount to be refunded be x

When Wrongly calculated :
(x-9)/3 = 43
x-9 = 43*3 = 129
x = 120

When Correctly calculation :
(x-3)/9
where x=120

(120-3)/9 = 117/9 = 13

So, when correct calculation is done, everyone will get $13

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