Jade, Zoe, Yen and Wendy received a sum of money. Jade received ⁵₈ of the total amount of money Zoe, Yen and Wendy received. Zoe received ¹₅ of the total amount of money Yen and Wendy received. Yen received ¹₃ as much money as Wendy. If Jade received $70 more than Yen, find the total sum of money the 4 girls received.

Jade	Zoe	Yen	Wendy	Total
5x3	8x3
	1x4	5x4
		1x5	3x5
15 u	4 u	5 u	15 u	39 u

The total amount that Yen and Wendy have is repeated.  Make the total amount that Yen and Wendy have the same.  LCM of 4 and 5 is 20.

The total amount that Zoe, Yen and Wendy have is repeated.  Make the total amount that Zoe, Yen and Wendy have the same. LCM of 6 and 8 is 24.

Amount that Jade had more than Yen
= 15 u - 5 u
= 10 u

10 u = 70

1 u = 70 ÷ 10 = 7

Total sum of money that 4 girls received
= 15 u + 4 u + 5 u + 15 u 
= 39 u
= 39 x 7
= $273

Answer(s): $273