Shannon, Kylie, Gillian and Vanessa received a sum of money. Shannon received ⁵₈ of the total amount of money Kylie, Gillian and Vanessa received. Kylie received ¹₃ of the total amount of money Gillian and Vanessa received. Gillian received ¹₅ as much money as Vanessa. If Kylie received $60 less than Shannon, find the total sum of money the 4 girls received.

Shannon	Kylie	Gillian	Vanessa	Total
5x1	8x1
	1x2	3x2
		1x1	5x1
5 u	2 u	1 u	5 u	13 u

The total amount that Gillian and Vanessa have is repeated.  Make the total amount that Gillian and Vanessa have the same.  LCM of 6 and 3 is 6.

The total amount that Kylie, Gillian and Vanessa have is repeated.  Make the total amount that Kylie, Gillian and Vanessa have the same. LCM of 4 and 8 is 8.

Amount that Kylie had less than Shannon
= 5 u - 2 u
= 3 u

3 u = 60

1 u = 60 ÷ 3 = 20

Total sum of money that 4 girls received
= 5 u + 2 u + 1 u + 5 u 
= 13 u
= 13 x 20
= $260

Answer(s): $260