Jen, Elyse, Yen and Jade received a sum of money. Jen received ²₅ of the total amount of money Elyse, Yen and Jade received. Elyse received ¹₄ of the total amount of money Yen and Jade received. Yen received ¹₂ as much money as Jade. If Elyse received $45 less than Jen, find the total sum of money the 4 girls received.

Jen	Elyse	Yen	Jade	Total
2x3	5x3
	1x3	4x3
		1x4	2x4
6 u	3 u	4 u	8 u	21 u

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

The total amount that Elyse, Yen and Jade have is repeated.  Make the total amount that Elyse, Yen and Jade have the same. LCM of 5 and 5 is 15.

Amount that Elyse had less than Jen
= 6 u - 3 u
= 3 u

3 u = 45

1 u = 45 ÷ 3 = 15

Total sum of money that 4 girls received
= 6 u + 3 u + 4 u + 8 u 
= 21 u
= 21 x 15
= $315

Answer(s): $315