Lynn, Jean and Xylia shared $270 among themselves. Jean and Xylia shared ²₅ of the money equally. After Jean gave away some of her money to Lynn, Xylia had 6 times as much money as Jean. How much money did Jean give to Lynn?

	Jean	Xylia	Lynn	Total
Before	1x6 = 6 u	1x6 = 6 u	3x6 = 18 u	30 u
Change	- 5 u	No change	+ 5 u
After	1x1 = 1 u	6x1 = 6 u	23 u	30 u

Jean and Xylia shared ²₅ of the money equally.

Fraction of the money that Jean and Xylia each had
= ²₅ ÷ 2
= ²₅ x ¹₂
= ¹₅

The amount that Xylia had remains unchanged.  The amount that Xylia had is the unchanged quantity. Make the amount that Xylia had the same. LCM of 1 and 6 is 6.

The amount that Jean and Xylia had at first is the same.

Total amount that they had at first
= 6 u + 6 u + 18 u
= 30 u

30 u = 270

1 u = 270 ÷ 30 = 9

Amount that Jean gave to Lynn
= 6 u - 1 u
= 5 u
= 5 x 9
= $45

Answer(s): $45