Roshel, Jade and Vanessa shared $405 among themselves. Jade and Vanessa shared ⁴₉ of the money equally. After Jade gave away some of her money to Roshel, Vanessa had 3 times as much money as Jade. How much money did Jade give to Roshel?

	Jade	Vanessa	Roshel	Total
Before	2x3 = 6 u	2x3 = 6 u	5x3 = 15 u	27 u
Change	- 4 u	No change	+ 4 u
After	1x2 = 2 u	3x2 = 6 u	19 u	27 u

Jade and Vanessa shared ⁴₉ of the money equally.

Fraction of the money that Jade and Vanessa each had
= ⁴₉ ÷ 2
= ⁴₉ x ¹₂
= ²₉

The amount that Vanessa had remains unchanged.  The amount that Vanessa had is the unchanged quantity. Make the amount that Vanessa had the same. LCM of 2 and 3 is 6.

The amount that Jade and Vanessa had at first is the same.

Total amount that they had at first
= 6 u + 6 u + 15 u
= 27 u

27 u = 405

1 u = 405 ÷ 27 = 15

Amount that Jade gave to Roshel
= 6 u - 2 u
= 4 u
= 4 x 15
= $60

Answer(s): $60