Shiyun, Dana and Jade shared $468 among themselves. Dana and Jade shared ⁴₉ of the money equally. After Dana gave away some of her money to Shiyun, Jade had 4 times as much money as Dana. How much money did Dana give to Shiyun?

	Dana	Jade	Shiyun	Total
Before	2x4 = 8 u	2x4 = 8 u	5x4 = 20 u	36 u
Change	- 6 u	No change	+ 6 u
After	1x2 = 2 u	4x2 = 8 u	26 u	36 u

Dana and Jade shared ⁴₉ of the money equally.

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

The amount that Jade had remains unchanged.  The amount that Jade had is the unchanged quantity. Make the amount that Jade had the same. LCM of 2 and 4 is 8.

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

Total amount that they had at first
= 8 u + 8 u + 20 u
= 36 u

36 u = 468

1 u = 468 ÷ 36 = 13

Amount that Dana gave to Shiyun
= 8 u - 2 u
= 6 u
= 6 x 13
= $78

Answer(s): $78