Mary, Usha and Tammy shared $462 among themselves. Usha and Tammy shared ³₇ of the money equally. After Usha gave away some of her money to Mary, Tammy had 3 times as much money as Usha. How much money did Usha give to Mary?

	Usha	Tammy	Mary	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

Usha and Tammy shared ³₇ of the money equally.

Fraction of the money that Usha and Tammy each had
= ³₇ ÷ 2
= ³₇ x ¹₂
= ³₁₄

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

The amount that Usha and Tammy had at first is the same.

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

42 u = 462

1 u = 462 ÷ 42 = 11

Amount that Usha gave to Mary
= 9 u - 3 u
= 6 u
= 6 x 11
= $66

Answer(s): $66