Gillian, Sarah, Abi and Yen received a sum of money. Gillian received ³₈ of the total amount of money Sarah, Abi and Yen received. Sarah received ¹₅ of the total amount of money Abi and Yen received. Abi received ¹₃ as much money as Yen. If Sarah received $65 less than Gillian, find the total sum of money the 4 girls received.

Gillian	Sarah	Abi	Yen	Total
3x3	8x3
	1x4	5x4
		1x5	3x5
9 u	4 u	5 u	15 u	33 u

The total amount that Abi and Yen have is repeated.  Make the total amount that Abi and Yen have the same.  LCM of 4 and 5 is 20.

The total amount that Sarah, Abi and Yen have is repeated.  Make the total amount that Sarah, Abi and Yen have the same. LCM of 6 and 8 is 24.

Amount that Sarah had less than Gillian
= 9 u - 4 u
= 5 u

5 u = 65

1 u = 65 ÷ 5 = 13

Total sum of money that 4 girls received
= 9 u + 4 u + 5 u + 15 u 
= 33 u
= 33 x 13
= $429

Answer(s): $429