Tina, Gem, Esther and Gillian received a sum of money. Tina received ³₈ of the total amount of money Gem, Esther and Gillian received. Gem received ¹₃ of the total amount of money Esther and Gillian received. Esther received ¹₅ as much money as Gillian. If Tina received $12 more than Esther, find the total sum of money the 4 girls received.

Tina	Gem	Esther	Gillian	Total
3x1	8x1
	1x2	3x2
		1x1	5x1
3 u	2 u	1 u	5 u	11 u

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

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

Amount that Tina had more than Esther
= 3 u - 1 u
= 2 u

2 u = 12

1 u = 12 ÷ 2 = 6

Total sum of money that 4 girls received
= 3 u + 2 u + 1 u + 5 u 
= 11 u
= 11 x 6
= $66

Answer(s): $66