Hilda, Shiyun, Emily and Rachel received a sum of money. Hilda received ²₅ of the total amount of money Shiyun, Emily and Rachel received. Shiyun received ¹₂ of the total amount of money Emily and Rachel received. Emily received ¹₄ as much money as Rachel. If Hilda received $80 more than Emily, find the total sum of money the 4 girls received.

Hilda	Shiyun	Emily	Rachel	Total
2x3	5x3
	1x5	2x5
		1x2	4x2
6 u	5 u	2 u	8 u	21 u

The total amount that Emily and Rachel have is repeated.  Make the total amount that Emily and Rachel have the same.  LCM of 5 and 2 is 10.

The total amount that Shiyun, Emily and Rachel have is repeated.  Make the total amount that Shiyun, Emily and Rachel have the same. LCM of 3 and 5 is 15.

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

4 u = 80

1 u = 80 ÷ 4 = 20

Total sum of money that 4 girls received
= 6 u + 5 u + 2 u + 8 u 
= 21 u
= 21 x 20
= $420

Answer(s): $420