Emily, Vanessa, Sabrina and Gem received a sum of money. Emily received ³₈ of the total amount of money Vanessa, Sabrina and Gem received. Vanessa received ¹₃ of the total amount of money Sabrina and Gem received. Sabrina received ¹₅ as much money as Gem. If Emily received $34 more than Sabrina, find the total sum of money the 4 girls received.

Emily	Vanessa	Sabrina	Gem	Total
3x1	8x1
	1x2	3x2
		1x1	5x1
3 u	2 u	1 u	5 u	11 u

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

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

Amount that Emily had more than Sabrina
= 3 u - 1 u
= 2 u

2 u = 34

1 u = 34 ÷ 2 = 17

Total sum of money that 4 girls received
= 3 u + 2 u + 1 u + 5 u 
= 11 u
= 11 x 17
= $187

Answer(s): $187