Barbara, Roshel, Ivory and Irene received a sum of money. Barbara received ²₅ of the total amount of money Roshel, Ivory and Irene received. Roshel received ¹₄ of the total amount of money Ivory and Irene received. Ivory received ¹₂ as much money as Irene. If Barbara received $14 more than Ivory, find the total sum of money the 4 girls received.

Barbara	Roshel	Ivory	Irene	Total
2x3	5x3
	1x3	4x3
		1x4	2x4
6 u	3 u	4 u	8 u	21 u

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

The total amount that Roshel, Ivory and Irene have is repeated.  Make the total amount that Roshel, Ivory and Irene have the same. LCM of 5 and 5 is 15.

Amount that Barbara had more than Ivory
= 6 u - 4 u
= 2 u

2 u = 14

1 u = 14 ÷ 2 = 7

Total sum of money that 4 girls received
= 6 u + 3 u + 4 u + 8 u 
= 21 u
= 21 x 7
= $147

Answer(s): $147