Elyse, Natalie and Kylie shared $288 among themselves. Natalie and Kylie shared ³₈ of the money equally. After Natalie gave away some of her money to Elyse, Kylie had 6 times as much money as Natalie. How much money did Natalie give to Elyse?

	Natalie	Kylie	Elyse	Total
Before	3x6 = 18 u	3x6 = 18 u	10x6 = 60 u	96 u
Change	- 15 u	No change	+ 15 u
After	1x3 = 3 u	6x3 = 18 u	75 u	96 u

Natalie and Kylie shared ³₈ of the money equally.

Fraction of the money that Natalie and Kylie each had
= ³₈ ÷ 2
= ³₈ x ¹₂
= ³₁₆

The amount that Kylie had remains unchanged.  The amount that Kylie had is the unchanged quantity. Make the amount that Kylie had the same. LCM of 3 and 6 is 18.

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

Total amount that they had at first
= 18 u + 18 u + 60 u
= 96 u

96 u = 288

1 u = 288 ÷ 96 = 3

Amount that Natalie gave to Elyse
= 18 u - 3 u
= 15 u
= 15 x 3
= $45

Answer(s): $45