Barbara, Emma and Lucy shared $220 among themselves. Emma and Lucy shared ²₅ of the money equally. After Emma gave away some of her money to Barbara, Lucy had 4 times as much money as Emma. How much money did Emma give to Barbara?

	Emma	Lucy	Barbara	Total
Before	1x4 = 4 u	1x4 = 4 u	3x4 = 12 u	20 u
Change	- 3 u	No change	+ 3 u
After	1x1 = 1 u	4x1 = 4 u	15 u	20 u

Emma and Lucy shared ²₅ of the money equally.

Fraction of the money that Emma and Lucy each had
= ²₅ ÷ 2
= ²₅ x ¹₂
= ¹₅

The amount that Lucy had remains unchanged.  The amount that Lucy had is the unchanged quantity. Make the amount that Lucy had the same. LCM of 1 and 4 is 4.

The amount that Emma and Lucy had at first is the same.

Total amount that they had at first
= 4 u + 4 u + 12 u
= 20 u

20 u = 220

1 u = 220 ÷ 20 = 11

Amount that Emma gave to Barbara
= 4 u - 1 u
= 3 u
= 3 x 11
= $33

Answer(s): $33