Question

Two sisters, Wong and Nicole, went to the carnival yesterday. They had won an equal number of coupons after playing several games at the carnival. Remembering that it was Nicole's birthday, Wong gave Nicole 24 coupons after they had arrived home. After receiving the coupons from her sister, Nicole had 3 times as many coupons as Wong. How many coupons had Nicole in the end?

Answer 1

72 coupons

Explanation:

You want to know the number of coupons Nicole had if that was 3 times the number Wong had after Wong gave Nicole 24 coupons.

Setup

Let n represent the number of coupons Nicole ended with. Then n/3 is the number Wong ended with. The numbers before the transfer of 24 coupons were equal, so we have ...

n -24 = n/3 +24

Solution

2/3n = 48 . . . . . add 24-n/3

n = 72 . . . . . . . multiply by 3/2

Nicole had 72 coupons in the end.

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