Sabrina, Hazel, Zara and Lucy received a sum of money. Sabrina received ²₅ of the total amount of money Hazel, Zara and Lucy received. Hazel received ¹₂ of the total amount of money Zara and Lucy received. Zara received ¹₄ as much money as Lucy. If Sabrina received $44 more than Zara, find the total sum of money the 4 girls received.

Sabrina	Hazel	Zara	Lucy	Total
2x3	5x3
	1x5	2x5
		1x2	4x2
6 u	5 u	2 u	8 u	21 u

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

The total amount that Hazel, Zara and Lucy have is repeated.  Make the total amount that Hazel, Zara and Lucy have the same. LCM of 3 and 5 is 15.

Amount that Sabrina had more than Zara
= 6 u - 2 u
= 4 u

4 u = 44

1 u = 44 ÷ 4 = 11

Total sum of money that 4 girls received
= 6 u + 5 u + 2 u + 8 u 
= 21 u
= 21 x 11
= $231

Answer(s): $231