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

	Jane	Irene	Barbara	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

Jane and Irene shared ³₇ of the money equally.

Fraction of the money that Jane and Irene each had
= ³₇ ÷ 2
= ³₇ x ¹₂
= ³₁₄

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

The amount that Jane and Irene 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 Jane gave to Barbara
= 9 u - 3 u
= 6 u
= 6 x 6
= $36

Answer(s): $36