Gwen, Jaslyn and Natalie shared $280 among themselves. Jaslyn and Natalie shared ³₇ of the money equally. After Jaslyn gave away some of her money to Gwen, Natalie had 4 times as much money as Jaslyn. How much money did Jaslyn give to Gwen?

	Jaslyn	Natalie	Gwen	Total
Before	3x4 = 12 u	3x4 = 12 u	8x4 = 32 u	56 u
Change	- 9 u	No change	+ 9 u
After	1x3 = 3 u	4x3 = 12 u	41 u	56 u

Jaslyn and Natalie shared ³₇ of the money equally.

Fraction of the money that Jaslyn and Natalie each had
= ³₇ ÷ 2
= ³₇ x ¹₂
= ³₁₄

The amount that Natalie had remains unchanged.  The amount that Natalie had is the unchanged quantity. Make the amount that Natalie had the same. LCM of 3 and 4 is 12.

The amount that Jaslyn and Natalie had at first is the same.

Total amount that they had at first
= 12 u + 12 u + 32 u
= 56 u

56 u = 280

1 u = 280 ÷ 56 = 5

Amount that Jaslyn gave to Gwen
= 12 u - 3 u
= 9 u
= 9 x 5
= $45

Answer(s): $45