Anna, Vanessa, Ivory and Hazel received a sum of money. Anna received ²₅ of the total amount of money Vanessa, Ivory and Hazel received. Vanessa received ¹₄ of the total amount of money Ivory and Hazel received. Ivory received ¹₅ as much money as Hazel. If Vanessa received $39 less than Anna, find the total sum of money the 4 girls received.

Anna	Vanessa	Ivory	Hazel	Total
2x3	5x3
	1x3	4x3
		1x2	5x2
6 u	3 u	2 u	10 u	21 u

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

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

Amount that Vanessa had less than Anna
= 6 u - 3 u
= 3 u

3 u = 39

1 u = 39 ÷ 3 = 13

Total sum of money that 4 girls received
= 6 u + 3 u + 2 u + 10 u 
= 21 u
= 21 x 13
= $273

Answer(s): $273