Mary, Olivia, Rachel and Cathy received a sum of money. Mary received ²₅ of the total amount of money Olivia, Rachel and Cathy received. Olivia received ¹₄ of the total amount of money Rachel and Cathy received. Rachel received ¹₂ as much money as Cathy. If Mary received $28 more than Rachel, find the total sum of money the 4 girls received.

Mary	Olivia	Rachel	Cathy	Total
2x3	5x3
	1x3	4x3
		1x4	2x4
6 u	3 u	4 u	8 u	21 u

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

The total amount that Olivia, Rachel and Cathy have is repeated.  Make the total amount that Olivia, Rachel and Cathy have the same. LCM of 5 and 5 is 15.

Amount that Mary had more than Rachel
= 6 u - 4 u
= 2 u

2 u = 28

1 u = 28 ÷ 2 = 14

Total sum of money that 4 girls received
= 6 u + 3 u + 4 u + 8 u 
= 21 u
= 21 x 14
= $294

Answer(s): $294