Yoko, Jean, Ivory and Linda received a sum of money. Yoko received ³₈ of the total amount of money Jean, Ivory and Linda received. Jean received ¹₅ of the total amount of money Ivory and Linda received. Ivory received ¹₃ as much money as Linda. If Jean received $55 less than Yoko, find the total sum of money the 4 girls received.

Yoko	Jean	Ivory	Linda	Total
3x3	8x3
	1x4	5x4
		1x5	3x5
9 u	4 u	5 u	15 u	33 u

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

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

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

5 u = 55

1 u = 55 ÷ 5 = 11

Total sum of money that 4 girls received
= 9 u + 4 u + 5 u + 15 u 
= 33 u
= 33 x 11
= $363

Answer(s): $363