Barbara, Abi, Wendy and Min received a sum of money. Barbara received ³₈ of the total amount of money Abi, Wendy and Min received. Abi received ¹₅ of the total amount of money Wendy and Min received. Wendy received ¹₃ as much money as Min. If Barbara received $64 more than Wendy, find the total sum of money the 4 girls received.

Barbara	Abi	Wendy	Min	Total
3x3	8x3
	1x4	5x4
		1x5	3x5
9 u	4 u	5 u	15 u	33 u

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

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

Amount that Barbara had more than Wendy
= 9 u - 5 u
= 4 u

4 u = 64

1 u = 64 ÷ 4 = 16

Total sum of money that 4 girls received
= 9 u + 4 u + 5 u + 15 u 
= 33 u
= 33 x 16
= $528

Answer(s): $528