Gem, Marion, Lynn and Risa received a sum of money. Gem received ³₈ of the total amount of money Marion, Lynn and Risa received. Marion received ¹₃ of the total amount of money Lynn and Risa received. Lynn received ¹₅ as much money as Risa. If Gem received $36 more than Lynn, find the total sum of money the 4 girls received.

Gem	Marion	Lynn	Risa	Total
3x1	8x1
	1x2	3x2
		1x1	5x1
3 u	2 u	1 u	5 u	11 u

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

The total amount that Marion, Lynn and Risa have is repeated.  Make the total amount that Marion, Lynn and Risa have the same. LCM of 4 and 8 is 8.

Amount that Gem had more than Lynn
= 3 u - 1 u
= 2 u

2 u = 36

1 u = 36 ÷ 2 = 18

Total sum of money that 4 girls received
= 3 u + 2 u + 1 u + 5 u 
= 11 u
= 11 x 18
= $198

Answer(s): $198