Hazel, Gem, Jane and Ivory received a sum of money. Hazel received ²₅ of the total amount of money Gem, Jane and Ivory received. Gem received ¹₄ of the total amount of money Jane and Ivory received. Jane received ¹₂ as much money as Ivory. If Gem received $60 less than Hazel, find the total sum of money the 4 girls received.

Hazel	Gem	Jane	Ivory	Total
2x3	5x3
	1x3	4x3
		1x4	2x4
6 u	3 u	4 u	8 u	21 u

The total amount that Jane and Ivory have is repeated.  Make the total amount that Jane and Ivory have the same.  LCM of 3 and 4 is 12.

The total amount that Gem, Jane and Ivory have is repeated.  Make the total amount that Gem, Jane and Ivory have the same. LCM of 5 and 5 is 15.

Amount that Gem had less than Hazel
= 6 u - 3 u
= 3 u

3 u = 60

1 u = 60 ÷ 3 = 20

Total sum of money that 4 girls received
= 6 u + 3 u + 4 u + 8 u 
= 21 u
= 21 x 20
= $420

Answer(s): $420