Esther, Jean, Emily and Tiffany received a sum of money. Esther received ⁵₈ of the total amount of money Jean, Emily and Tiffany received. Jean received ¹₅ of the total amount of money Emily and Tiffany received. Emily received ¹₃ as much money as Tiffany. If Jean received $220 less than Esther, find the total sum of money the 4 girls received.

Esther	Jean	Emily	Tiffany	Total
5x3	8x3
	1x4	5x4
		1x5	3x5
15 u	4 u	5 u	15 u	39 u

The total amount that Emily and Tiffany have is repeated.  Make the total amount that Emily and Tiffany have the same.  LCM of 4 and 5 is 20.

The total amount that Jean, Emily and Tiffany have is repeated.  Make the total amount that Jean, Emily and Tiffany have the same. LCM of 6 and 8 is 24.

Amount that Jean had less than Esther
= 15 u - 4 u
= 11 u

11 u = 220

1 u = 220 ÷ 11 = 20

Total sum of money that 4 girls received
= 15 u + 4 u + 5 u + 15 u 
= 39 u
= 39 x 20
= $780

Answer(s): $780