Hilda, Sabrina, Victoria and Fanny received a sum of money. Hilda received ²₅ of the total amount of money Sabrina, Victoria and Fanny received. Sabrina received ¹₄ of the total amount of money Victoria and Fanny received. Victoria received ¹₂ as much money as Fanny. If Hilda received $28 more than Victoria, find the total sum of money the 4 girls received.

Hilda	Sabrina	Victoria	Fanny	Total
2x3	5x3
	1x3	4x3
		1x4	2x4
6 u	3 u	4 u	8 u	21 u

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

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

Amount that Hilda had more than Victoria
= 6 u - 4 u
= 2 u

2 u = 28

1 u = 28 ÷ 2 = 14

Total sum of money that 4 girls received
= 6 u + 3 u + 4 u + 8 u 
= 21 u
= 21 x 14
= $294

Answer(s): $294