Gwen, Victoria, Anna and Lynn received a sum of money. Gwen received ³₈ of the total amount of money Victoria, Anna and Lynn received. Victoria received ¹₅ of the total amount of money Anna and Lynn received. Anna received ¹₃ as much money as Lynn. If Victoria received $55 less than Gwen, find the total sum of money the 4 girls received.

Gwen	Victoria	Anna	Lynn	Total
3x3	8x3
	1x4	5x4
		1x5	3x5
9 u	4 u	5 u	15 u	33 u

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

The total amount that Victoria, Anna and Lynn have is repeated.  Make the total amount that Victoria, Anna and Lynn have the same. LCM of 6 and 8 is 24.

Amount that Victoria had less than Gwen
= 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