Cindy, Diana and Eva shared $400 among themselves. Diana and Eva shared ²₅ of the money equally. After Diana gave away some of her money to Cindy, Eva had 5 times as much money as Diana. How much money did Diana give to Cindy?

	Diana	Eva	Cindy	Total
Before	1x5 = 5 u	1x5 = 5 u	3x5 = 15 u	25 u
Change	- 4 u	No change	+ 4 u
After	1x1 = 1 u	5x1 = 5 u	19 u	25 u

Diana and Eva shared ²₅ of the money equally.

Fraction of the money that Diana and Eva each had
= ²₅ ÷ 2
= ²₅ x ¹₂
= ¹₅

The amount that Eva had remains unchanged.  The amount that Eva had is the unchanged quantity. Make the amount that Eva had the same. LCM of 1 and 5 is 5.

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

Total amount that they had at first
= 5 u + 5 u + 15 u
= 25 u

25 u = 400

1 u = 400 ÷ 25 = 16

Amount that Diana gave to Cindy
= 5 u - 1 u
= 4 u
= 4 x 16
= $64

Answer(s): $64