Fiona, Usha, Nicole and Penelope received a sum of money. Fiona received ²₅ of the total amount of money Usha, Nicole and Penelope received. Usha received ¹₂ of the total amount of money Nicole and Penelope received. Nicole received ¹₄ as much money as Penelope. If Fiona received $32 more than Nicole, find the total sum of money the 4 girls received.

Fiona	Usha	Nicole	Penelope	Total
2x3	5x3
	1x5	2x5
		1x2	4x2
6 u	5 u	2 u	8 u	21 u

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

The total amount that Usha, Nicole and Penelope have is repeated.  Make the total amount that Usha, Nicole and Penelope have the same. LCM of 3 and 5 is 15.

Amount that Fiona had more than Nicole
= 6 u - 2 u
= 4 u

4 u = 32

1 u = 32 ÷ 4 = 8

Total sum of money that 4 girls received
= 6 u + 5 u + 2 u + 8 u 
= 21 u
= 21 x 8
= $168

Answer(s): $168