Kathy, Gillian, Lynn and Rachel received a sum of money. Kathy received ²₅ of the total amount of money Gillian, Lynn and Rachel received. Gillian received ¹₄ of the total amount of money Lynn and Rachel received. Lynn received ¹₅ as much money as Rachel. If Gillian received $42 less than Kathy, find the total sum of money the 4 girls received.

Kathy	Gillian	Lynn	Rachel	Total
2x3	5x3
	1x3	4x3
		1x2	5x2
6 u	3 u	2 u	10 u	21 u

The total amount that Lynn and Rachel have is repeated.  Make the total amount that Lynn and Rachel have the same.  LCM of 6 and 4 is 12.

The total amount that Gillian, Lynn and Rachel have is repeated.  Make the total amount that Gillian, Lynn and Rachel have the same. LCM of 5 and 5 is 15.

Amount that Gillian had less than Kathy
= 6 u - 3 u
= 3 u

3 u = 42

1 u = 42 ÷ 3 = 14

Total sum of money that 4 girls received
= 6 u + 3 u + 2 u + 10 u 
= 21 u
= 21 x 14
= $294

Answer(s): $294