Esther, Kathy, Dana and Jean received a sum of money. Esther received ³₈ of the total amount of money Kathy, Dana and Jean received. Kathy received ¹₅ of the total amount of money Dana and Jean received. Dana received ¹₃ as much money as Jean. If Kathy received $70 less than Esther, find the total sum of money the 4 girls received.

Esther	Kathy	Dana	Jean	Total
3x3	8x3
	1x4	5x4
		1x5	3x5
9 u	4 u	5 u	15 u	33 u

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

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

Amount that Kathy had less than Esther
= 9 u - 4 u
= 5 u

5 u = 70

1 u = 70 ÷ 5 = 14

Total sum of money that 4 girls received
= 9 u + 4 u + 5 u + 15 u 
= 33 u
= 33 x 14
= $462

Answer(s): $462