Jen, Wendy, Winnie and Usha received a sum of money. Jen received ²₅ of the total amount of money Wendy, Winnie and Usha received. Wendy received ¹₂ of the total amount of money Winnie and Usha received. Winnie received ¹₄ as much money as Usha. If Jen received $48 more than Winnie, find the total sum of money the 4 girls received.

Jen	Wendy	Winnie	Usha	Total
2x3	5x3
	1x5	2x5
		1x2	4x2
6 u	5 u	2 u	8 u	21 u

The total amount that Winnie and Usha have is repeated.  Make the total amount that Winnie and Usha have the same.  LCM of 5 and 2 is 10.

The total amount that Wendy, Winnie and Usha have is repeated.  Make the total amount that Wendy, Winnie and Usha have the same. LCM of 3 and 5 is 15.

Amount that Jen had more than Winnie
= 6 u - 2 u
= 4 u

4 u = 48

1 u = 48 ÷ 4 = 12

Total sum of money that 4 girls received
= 6 u + 5 u + 2 u + 8 u 
= 21 u
= 21 x 12
= $252

Answer(s): $252