Ivory, Shannon, Gem and Lynn received a sum of money. Ivory received ⁵₈ of the total amount of money Shannon, Gem and Lynn received. Shannon received ¹₅ of the total amount of money Gem and Lynn received. Gem received ¹₃ as much money as Lynn. If Ivory received $60 more than Gem, find the total sum of money the 4 girls received.

Ivory	Shannon	Gem	Lynn	Total
5x3	8x3
	1x4	5x4
		1x5	3x5
15 u	4 u	5 u	15 u	39 u

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

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

Amount that Ivory had more than Gem
= 15 u - 5 u
= 10 u

10 u = 60

1 u = 60 ÷ 10 = 6

Total sum of money that 4 girls received
= 15 u + 4 u + 5 u + 15 u 
= 39 u
= 39 x 6
= $234

Answer(s): $234