Ivory, Zoe, Olivia and Rachel received a sum of money. Ivory received ²₅ of the total amount of money Zoe, Olivia and Rachel received. Zoe received ¹₄ of the total amount of money Olivia and Rachel received. Olivia received ¹₅ as much money as Rachel. If Ivory received $36 more than Olivia, find the total sum of money the 4 girls received.

Ivory	Zoe	Olivia	Rachel	Total
2x3	5x3
	1x3	4x3
		1x2	5x2
6 u	3 u	2 u	10 u	21 u

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

The total amount that Zoe, Olivia and Rachel have is repeated.  Make the total amount that Zoe, Olivia and Rachel have the same. LCM of 5 and 5 is 15.

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

4 u = 36

1 u = 36 ÷ 4 = 9

Total sum of money that 4 girls received
= 6 u + 3 u + 2 u + 10 u 
= 21 u
= 21 x 9
= $189

Answer(s): $189