Tammy, Gem, Lynn and Jane received a sum of money. Tammy received ⁵₈ of the total amount of money Gem, Lynn and Jane received. Gem received ¹₅ of the total amount of money Lynn and Jane received. Lynn received ¹₃ as much money as Jane. If Gem received $110 less than Tammy, find the total sum of money the 4 girls received.

Tammy	Gem	Lynn	Jane	Total
5x3	8x3
	1x4	5x4
		1x5	3x5
15 u	4 u	5 u	15 u	39 u

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

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

Amount that Gem had less than Tammy
= 15 u - 4 u
= 11 u

11 u = 110

1 u = 110 ÷ 11 = 10

Total sum of money that 4 girls received
= 15 u + 4 u + 5 u + 15 u 
= 39 u
= 39 x 10
= $390

Answer(s): $390