Xylia, Julie and Mary shared $252 among themselves. Julie and Mary shared ³₇ of the money equally. After Julie gave away some of her money to Xylia, Mary had 3 times as much money as Julie. How much money did Julie give to Xylia?

	Julie	Mary	Xylia	Total
Before	3x3 = 9 u	3x3 = 9 u	8x3 = 24 u	42 u
Change	- 6 u	No change	+ 6 u
After	1x3 = 3 u	3x3 = 9 u	30 u	42 u

Julie and Mary shared ³₇ of the money equally.

Fraction of the money that Julie and Mary each had
= ³₇ ÷ 2
= ³₇ x ¹₂
= ³₁₄

The amount that Mary had remains unchanged.  The amount that Mary had is the unchanged quantity. Make the amount that Mary had the same. LCM of 3 and 3 is 9.

The amount that Julie and Mary had at first is the same.

Total amount that they had at first
= 9 u + 9 u + 24 u
= 42 u

42 u = 252

1 u = 252 ÷ 42 = 6

Amount that Julie gave to Xylia
= 9 u - 3 u
= 6 u
= 6 x 6
= $36

Answer(s): $36