Xandra, Lucy, Hilda and Yoko received a sum of money. Xandra received ²₅ of the total amount of money Lucy, Hilda and Yoko received. Lucy received ¹₄ of the total amount of money Hilda and Yoko received. Hilda received ¹₂ as much money as Yoko. If Lucy received $48 less than Xandra, find the total sum of money the 4 girls received.

Xandra	Lucy	Hilda	Yoko	Total
2x3	5x3
	1x3	4x3
		1x4	2x4
6 u	3 u	4 u	8 u	21 u

The total amount that Hilda and Yoko have is repeated.  Make the total amount that Hilda and Yoko have the same.  LCM of 3 and 4 is 12.

The total amount that Lucy, Hilda and Yoko have is repeated.  Make the total amount that Lucy, Hilda and Yoko have the same. LCM of 5 and 5 is 15.

Amount that Lucy had less than Xandra
= 6 u - 3 u
= 3 u

3 u = 48

1 u = 48 ÷ 3 = 16

Total sum of money that 4 girls received
= 6 u + 3 u + 4 u + 8 u 
= 21 u
= 21 x 16
= $336

Answer(s): $336