Tiffany, Min and Gabby shared $540 among themselves. Min and Gabby shared ⁴₉ of the money equally. After Min gave away some of her money to Tiffany, Gabby had 5 times as much money as Min. How much money did Min give to Tiffany?

	Min	Gabby	Tiffany	Total
Before	2x5 = 10 u	2x5 = 10 u	5x5 = 25 u	45 u
Change	- 8 u	No change	+ 8 u
After	1x2 = 2 u	5x2 = 10 u	33 u	45 u

Min and Gabby shared ⁴₉ of the money equally.

Fraction of the money that Min and Gabby each had
= ⁴₉ ÷ 2
= ⁴₉ x ¹₂
= ²₉

The amount that Gabby had remains unchanged.  The amount that Gabby had is the unchanged quantity. Make the amount that Gabby had the same. LCM of 2 and 5 is 10.

The amount that Min and Gabby had at first is the same.

Total amount that they had at first
= 10 u + 10 u + 25 u
= 45 u

45 u = 540

1 u = 540 ÷ 45 = 12

Amount that Min gave to Tiffany
= 10 u - 2 u
= 8 u
= 8 x 12
= $96

Answer(s): $96