Eva, Linda, Usha and Xuan received a sum of money. Eva received ²₅ of the total amount of money Linda, Usha and Xuan received. Linda received ¹₄ of the total amount of money Usha and Xuan received. Usha received ¹₂ as much money as Xuan. If Linda received $57 less than Eva, find the total sum of money the 4 girls received.

Eva	Linda	Usha	Xuan	Total
2x3	5x3
	1x3	4x3
		1x4	2x4
6 u	3 u	4 u	8 u	21 u

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

The total amount that Linda, Usha and Xuan have is repeated.  Make the total amount that Linda, Usha and Xuan have the same. LCM of 5 and 5 is 15.

Amount that Linda had less than Eva
= 6 u - 3 u
= 3 u

3 u = 57

1 u = 57 ÷ 3 = 19

Total sum of money that 4 girls received
= 6 u + 3 u + 4 u + 8 u 
= 21 u
= 21 x 19
= $399

Answer(s): $399