Sabrina, Gem, Tiffany and Lucy received a sum of money. Sabrina received ⁵₈ of the total amount of money Gem, Tiffany and Lucy received. Gem received ¹₃ of the total amount of money Tiffany and Lucy received. Tiffany received ¹₅ as much money as Lucy. If Sabrina received $28 more than Tiffany, find the total sum of money the 4 girls received.

Sabrina	Gem	Tiffany	Lucy	Total
5x1	8x1
	1x2	3x2
		1x1	5x1
5 u	2 u	1 u	5 u	13 u

The total amount that Tiffany and Lucy have is repeated.  Make the total amount that Tiffany and Lucy have the same.  LCM of 6 and 3 is 6.

The total amount that Gem, Tiffany and Lucy have is repeated.  Make the total amount that Gem, Tiffany and Lucy have the same. LCM of 4 and 8 is 8.

Amount that Sabrina had more than Tiffany
= 5 u - 1 u
= 4 u

4 u = 28

1 u = 28 ÷ 4 = 7

Total sum of money that 4 girls received
= 5 u + 2 u + 1 u + 5 u 
= 13 u
= 13 x 7
= $91

Answer(s): $91