Abi, Jane, Esther and Zara received a sum of money. Abi received ²₅ of the total amount of money Jane, Esther and Zara received. Jane received ¹₄ of the total amount of money Esther and Zara received. Esther received ¹₅ as much money as Zara. If Jane received $51 less than Abi, find the total sum of money the 4 girls received.

Abi	Jane	Esther	Zara	Total
2x3	5x3
	1x3	4x3
		1x2	5x2
6 u	3 u	2 u	10 u	21 u

The total amount that Esther and Zara have is repeated.  Make the total amount that Esther and Zara have the same.  LCM of 6 and 4 is 12.

The total amount that Jane, Esther and Zara have is repeated.  Make the total amount that Jane, Esther and Zara have the same. LCM of 5 and 5 is 15.

Amount that Jane had less than Abi
= 6 u - 3 u
= 3 u

3 u = 51

1 u = 51 ÷ 3 = 17

Total sum of money that 4 girls received
= 6 u + 3 u + 2 u + 10 u 
= 21 u
= 21 x 17
= $357

Answer(s): $357