Min, Vanessa, Gabby and Fanny received a sum of money. Min received ²₅ of the total amount of money Vanessa, Gabby and Fanny received. Vanessa received ¹₄ of the total amount of money Gabby and Fanny received. Gabby received ¹₅ as much money as Fanny. If Min received $76 more than Gabby, find the total sum of money the 4 girls received.

Min	Vanessa	Gabby	Fanny	Total
2x3	5x3
	1x3	4x3
		1x2	5x2
6 u	3 u	2 u	10 u	21 u

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

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

Amount that Min had more than Gabby
= 6 u - 2 u
= 4 u

4 u = 76

1 u = 76 ÷ 4 = 19

Total sum of money that 4 girls received
= 6 u + 3 u + 2 u + 10 u 
= 21 u
= 21 x 19
= $399

Answer(s): $399