Xandra, Jaslyn, Tammy and Emma received a sum of money. Xandra received ⁵₈ of the total amount of money Jaslyn, Tammy and Emma received. Jaslyn received ¹₃ of the total amount of money Tammy and Emma received. Tammy received ¹₅ as much money as Emma. If Xandra received $60 more than Tammy, find the total sum of money the 4 girls received.

Xandra	Jaslyn	Tammy	Emma	Total
5x1	8x1
	1x2	3x2
		1x1	5x1
5 u	2 u	1 u	5 u	13 u

The total amount that Tammy and Emma have is repeated.  Make the total amount that Tammy and Emma have the same.  LCM of 6 and 3 is 6.

The total amount that Jaslyn, Tammy and Emma have is repeated.  Make the total amount that Jaslyn, Tammy and Emma have the same. LCM of 4 and 8 is 8.

Amount that Xandra had more than Tammy
= 5 u - 1 u
= 4 u

4 u = 60

1 u = 60 ÷ 4 = 15

Total sum of money that 4 girls received
= 5 u + 2 u + 1 u + 5 u 
= 13 u
= 13 x 15
= $195

Answer(s): $195