Ivory, Xandra and Emma shared $308 among themselves. Xandra and Emma shared ²₇ of the money equally. After Xandra gave away some of her money to Ivory, Emma had 4 times as much money as Xandra. How much money did Xandra give to Ivory?

	Xandra	Emma	Ivory	Total
Before	1x4 = 4 u	1x4 = 4 u	5x4 = 20 u	28 u
Change	- 3 u	No change	+ 3 u
After	1x1 = 1 u	4x1 = 4 u	23 u	28 u

Xandra and Emma shared ²₇ of the money equally.

Fraction of the money that Xandra and Emma each had
= ²₇ ÷ 2
= ²₇ x ¹₂
= ¹₇

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

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

Total amount that they had at first
= 4 u + 4 u + 20 u
= 28 u

28 u = 308

1 u = 308 ÷ 28 = 11

Amount that Xandra gave to Ivory
= 4 u - 1 u
= 3 u
= 3 x 11
= $33

Answer(s): $33