Cindy, Winnie, Usha and Cathy received a sum of money. Cindy received ³₈ of the total amount of money Winnie, Usha and Cathy received. Winnie received ¹₅ of the total amount of money Usha and Cathy received. Usha received ¹₃ as much money as Cathy. If Winnie received $30 less than Cindy, find the total sum of money the 4 girls received.

Cindy	Winnie	Usha	Cathy	Total
3x3	8x3
	1x4	5x4
		1x5	3x5
9 u	4 u	5 u	15 u	33 u

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

The total amount that Winnie, Usha and Cathy have is repeated.  Make the total amount that Winnie, Usha and Cathy have the same. LCM of 6 and 8 is 24.

Amount that Winnie had less than Cindy
= 9 u - 4 u
= 5 u

5 u = 30

1 u = 30 ÷ 5 = 6

Total sum of money that 4 girls received
= 9 u + 4 u + 5 u + 15 u 
= 33 u
= 33 x 6
= $198

Answer(s): $198