Anna, Pamela and Usha shared $360 among themselves. Pamela and Usha shared ⁴₉ of the money equally. After Pamela gave away some of her money to Anna, Usha had 5 times as much money as Pamela. How much money did Pamela give to Anna?

	Pamela	Usha	Anna	Total
Before	2x5 = 10 u	2x5 = 10 u	5x5 = 25 u	45 u
Change	- 8 u	No change	+ 8 u
After	1x2 = 2 u	5x2 = 10 u	33 u	45 u

Pamela and Usha shared ⁴₉ of the money equally.

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

The amount that Usha had remains unchanged.  The amount that Usha had is the unchanged quantity. Make the amount that Usha had the same. LCM of 2 and 5 is 10.

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

Total amount that they had at first
= 10 u + 10 u + 25 u
= 45 u

45 u = 360

1 u = 360 ÷ 45 = 8

Amount that Pamela gave to Anna
= 10 u - 2 u
= 8 u
= 8 x 8
= $64

Answer(s): $64