Fanny, Usha and Esther shared $594 among themselves. Usha and Esther shared ⁴₉ of the money equally. After Usha gave away some of her money to Fanny, Esther had 6 times as much money as Usha. How much money did Usha give to Fanny?

	Usha	Esther	Fanny	Total
Before	2x6 = 12 u	2x6 = 12 u	5x6 = 30 u	54 u
Change	- 10 u	No change	+ 10 u
After	1x2 = 2 u	6x2 = 12 u	40 u	54 u

Usha and Esther shared ⁴₉ of the money equally.

Fraction of the money that Usha and Esther each had
= ⁴₉ ÷ 2
= ⁴₉ x ¹₂
= ²₉

The amount that Esther had remains unchanged.  The amount that Esther had is the unchanged quantity. Make the amount that Esther had the same. LCM of 2 and 6 is 12.

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

Total amount that they had at first
= 12 u + 12 u + 30 u
= 54 u

54 u = 594

1 u = 594 ÷ 54 = 11

Amount that Usha gave to Fanny
= 12 u - 2 u
= 10 u
= 10 x 11
= $110

Answer(s): $110