Yoko, Raeann, Jean and Shannon received a sum of money. Yoko received ³₈ of the total amount of money Raeann, Jean and Shannon received. Raeann received ¹₅ of the total amount of money Jean and Shannon received. Jean received ¹₃ as much money as Shannon. If Raeann received $35 less than Yoko, find the total sum of money the 4 girls received.

Yoko	Raeann	Jean	Shannon	Total
3x3	8x3
	1x4	5x4
		1x5	3x5
9 u	4 u	5 u	15 u	33 u

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

The total amount that Raeann, Jean and Shannon have is repeated.  Make the total amount that Raeann, Jean and Shannon have the same. LCM of 6 and 8 is 24.

Amount that Raeann had less than Yoko
= 9 u - 4 u
= 5 u

5 u = 35

1 u = 35 ÷ 5 = 7

Total sum of money that 4 girls received
= 9 u + 4 u + 5 u + 15 u 
= 33 u
= 33 x 7
= $231

Answer(s): $231