Gem, Linda, Mary and Hilda received a sum of money. Gem received ²₅ of the total amount of money Linda, Mary and Hilda received. Linda received ¹₂ of the total amount of money Mary and Hilda received. Mary received ¹₄ as much money as Hilda. If Gem received $52 more than Mary, find the total sum of money the 4 girls received.

Gem	Linda	Mary	Hilda	Total
2x3	5x3
	1x5	2x5
		1x2	4x2
6 u	5 u	2 u	8 u	21 u

The total amount that Mary and Hilda have is repeated.  Make the total amount that Mary and Hilda have the same.  LCM of 5 and 2 is 10.

The total amount that Linda, Mary and Hilda have is repeated.  Make the total amount that Linda, Mary and Hilda have the same. LCM of 3 and 5 is 15.

Amount that Gem had more than Mary
= 6 u - 2 u
= 4 u

4 u = 52

1 u = 52 ÷ 4 = 13

Total sum of money that 4 girls received
= 6 u + 5 u + 2 u + 8 u 
= 21 u
= 21 x 13
= $273

Answer(s): $273