Erika, Nicole, Esther and Hazel received a sum of money. Erika received ³₈ of the total amount of money Nicole, Esther and Hazel received. Nicole received ¹₃ of the total amount of money Esther and Hazel received. Esther received ¹₅ as much money as Hazel. If Erika received $10 more than Esther, find the total sum of money the 4 girls received.

Erika	Nicole	Esther	Hazel	Total
3x1	8x1
	1x2	3x2
		1x1	5x1
3 u	2 u	1 u	5 u	11 u

The total amount that Esther and Hazel have is repeated.  Make the total amount that Esther and Hazel have the same.  LCM of 6 and 3 is 6.

The total amount that Nicole, Esther and Hazel have is repeated.  Make the total amount that Nicole, Esther and Hazel have the same. LCM of 4 and 8 is 8.

Amount that Erika had more than Esther
= 3 u - 1 u
= 2 u

2 u = 10

1 u = 10 ÷ 2 = 5

Total sum of money that 4 girls received
= 3 u + 2 u + 1 u + 5 u 
= 11 u
= 11 x 5
= $55

Answer(s): $55