Gabby, Esther, Jane and Kathy received a sum of money. Gabby received ³₈ of the total amount of money Esther, Jane and Kathy received. Esther received ¹₅ of the total amount of money Jane and Kathy received. Jane received ¹₃ as much money as Kathy. If Esther received $90 less than Gabby, find the total sum of money the 4 girls received.

Gabby	Esther	Jane	Kathy	Total
3x3	8x3
	1x4	5x4
		1x5	3x5
9 u	4 u	5 u	15 u	33 u

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

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

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

5 u = 90

1 u = 90 ÷ 5 = 18

Total sum of money that 4 girls received
= 9 u + 4 u + 5 u + 15 u 
= 33 u
= 33 x 18
= $594

Answer(s): $594