Cindy, Diana and Joelle shared $560 among themselves. Diana and Joelle shared ³₈ of the money equally. After Diana gave away some of her money to Cindy, Joelle had 5 times as much money as Diana. How much money did Diana give to Cindy?

	Diana	Joelle	Cindy	Total
Before	3x5 = 15 u	3x5 = 15 u	10x5 = 50 u	80 u
Change	- 12 u	No change	+ 12 u
After	1x3 = 3 u	5x3 = 15 u	62 u	80 u

Diana and Joelle shared ³₈ of the money equally.

Fraction of the money that Diana and Joelle each had
= ³₈ ÷ 2
= ³₈ x ¹₂
= ³₁₆

The amount that Joelle had remains unchanged.  The amount that Joelle had is the unchanged quantity. Make the amount that Joelle had the same. LCM of 3 and 5 is 15.

The amount that Diana and Joelle had at first is the same.

Total amount that they had at first
= 15 u + 15 u + 50 u
= 80 u

80 u = 560

1 u = 560 ÷ 80 = 7

Amount that Diana gave to Cindy
= 15 u - 3 u
= 12 u
= 12 x 7
= $84

Answer(s): $84