Victoria, Yen, Tina and Barbara received a sum of money. Victoria received ²₅ of the total amount of money Yen, Tina and Barbara received. Yen received ¹₄ of the total amount of money Tina and Barbara received. Tina received ¹₂ as much money as Barbara. If Victoria received $18 more than Tina, find the total sum of money the 4 girls received.

Victoria	Yen	Tina	Barbara	Total
2x3	5x3
	1x3	4x3
		1x4	2x4
6 u	3 u	4 u	8 u	21 u

The total amount that Tina and Barbara have is repeated.  Make the total amount that Tina and Barbara have the same.  LCM of 3 and 4 is 12.

The total amount that Yen, Tina and Barbara have is repeated.  Make the total amount that Yen, Tina and Barbara have the same. LCM of 5 and 5 is 15.

Amount that Victoria had more than Tina
= 6 u - 4 u
= 2 u

2 u = 18

1 u = 18 ÷ 2 = 9

Total sum of money that 4 girls received
= 6 u + 3 u + 4 u + 8 u 
= 21 u
= 21 x 9
= $189

Answer(s): $189