Zoe, Kylie, Sabrina and Lynn received a sum of money. Zoe received ³₈ of the total amount of money Kylie, Sabrina and Lynn received. Kylie received ¹₅ of the total amount of money Sabrina and Lynn received. Sabrina received ¹₃ as much money as Lynn. If Zoe received $44 more than Sabrina, find the total sum of money the 4 girls received.

Zoe	Kylie	Sabrina	Lynn	Total
3x3	8x3
	1x4	5x4
		1x5	3x5
9 u	4 u	5 u	15 u	33 u

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

The total amount that Kylie, Sabrina and Lynn have is repeated.  Make the total amount that Kylie, Sabrina and Lynn have the same. LCM of 6 and 8 is 24.

Amount that Zoe had more than Sabrina
= 9 u - 5 u
= 4 u

4 u = 44

1 u = 44 ÷ 4 = 11

Total sum of money that 4 girls received
= 9 u + 4 u + 5 u + 15 u 
= 33 u
= 33 x 11
= $363

Answer(s): $363