Cathy, Usha, Lynn and Gem received a sum of money. Cathy received ²₅ of the total amount of money Usha, Lynn and Gem received. Usha received ¹₂ of the total amount of money Lynn and Gem received. Lynn received ¹₄ as much money as Gem. If Cathy received $48 more than Lynn, find the total sum of money the 4 girls received.

Cathy	Usha	Lynn	Gem	Total
2x3	5x3
	1x5	2x5
		1x2	4x2
6 u	5 u	2 u	8 u	21 u

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

The total amount that Usha, Lynn and Gem have is repeated.  Make the total amount that Usha, Lynn and Gem have the same. LCM of 3 and 5 is 15.

Amount that Cathy had more than Lynn
= 6 u - 2 u
= 4 u

4 u = 48

1 u = 48 ÷ 4 = 12

Total sum of money that 4 girls received
= 6 u + 5 u + 2 u + 8 u 
= 21 u
= 21 x 12
= $252

Answer(s): $252