Jen, Roshel and Irene shared $280 among themselves. Roshel and Irene shared ²₇ of the money equally. After Roshel gave away some of her money to Jen, Irene had 5 times as much money as Roshel. How much money did Roshel give to Jen?

	Roshel	Irene	Jen	Total
Before	1x5 = 5 u	1x5 = 5 u	5x5 = 25 u	35 u
Change	- 4 u	No change	+ 4 u
After	1x1 = 1 u	5x1 = 5 u	29 u	35 u

Roshel and Irene shared ²₇ of the money equally.

Fraction of the money that Roshel and Irene each had
= ²₇ ÷ 2
= ²₇ x ¹₂
= ¹₇

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 1 and 5 is 5.

The amount that Roshel and Irene had at first is the same.

Total amount that they had at first
= 5 u + 5 u + 25 u
= 35 u

35 u = 280

1 u = 280 ÷ 35 = 8

Amount that Roshel gave to Jen
= 5 u - 1 u
= 4 u
= 4 x 8
= $32

Answer(s): $32