Erika, Roshel, Fiona and Xuan received a sum of money. Erika received ²₅ of the total amount of money Roshel, Fiona and Xuan received. Roshel received ¹₃ of the total amount of money Fiona and Xuan received. Fiona received ¹₄ as much money as Xuan. If Roshel received $42 less than Erika, find the total sum of money the 4 girls received.

Erika	Roshel	Fiona	Xuan	Total
2x4	5x4
	1x5	3x5
		1x3	4x3
8 u	5 u	3 u	12 u	28 u

The total amount that Fiona and Xuan have is repeated.  Make the total amount that Fiona and Xuan have the same.  LCM of 5 and 3 is 15.

The total amount that Roshel, Fiona and Xuan have is repeated.  Make the total amount that Roshel, Fiona and Xuan have the same. LCM of 4 and 5 is 20.

Amount that Roshel had less than Erika
= 8 u - 5 u
= 3 u

3 u = 42

1 u = 42 ÷ 3 = 14

Total sum of money that 4 girls received
= 8 u + 5 u + 3 u + 12 u 
= 28 u
= 28 x 14
= $392

Answer(s): $392