Joelle, Emma, Natalie and Abi received a sum of money. Joelle received ²₅ of the total amount of money Emma, Natalie and Abi received. Emma received ¹₄ of the total amount of money Natalie and Abi received. Natalie received ¹₅ as much money as Abi. If Emma received $24 less than Joelle, find the total sum of money the 4 girls received.

Joelle	Emma	Natalie	Abi	Total
2x3	5x3
	1x3	4x3
		1x2	5x2
6 u	3 u	2 u	10 u	21 u

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

The total amount that Emma, Natalie and Abi have is repeated.  Make the total amount that Emma, Natalie and Abi have the same. LCM of 5 and 5 is 15.

Amount that Emma had less than Joelle
= 6 u - 3 u
= 3 u

3 u = 24

1 u = 24 ÷ 3 = 8

Total sum of money that 4 girls received
= 6 u + 3 u + 2 u + 10 u 
= 21 u
= 21 x 8
= $168

Answer(s): $168