Tina, Anna, Zoe and Kathy received a sum of money. Tina received ⁵₈ of the total amount of money Anna, Zoe and Kathy received. Anna received ¹₃ of the total amount of money Zoe and Kathy received. Zoe received ¹₅ as much money as Kathy. If Anna received $30 less than Tina, find the total sum of money the 4 girls received.

Tina	Anna	Zoe	Kathy	Total
5x1	8x1
	1x2	3x2
		1x1	5x1
5 u	2 u	1 u	5 u	13 u

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

The total amount that Anna, Zoe and Kathy have is repeated.  Make the total amount that Anna, Zoe and Kathy have the same. LCM of 4 and 8 is 8.

Amount that Anna had less than Tina
= 5 u - 2 u
= 3 u

3 u = 30

1 u = 30 ÷ 3 = 10

Total sum of money that 4 girls received
= 5 u + 2 u + 1 u + 5 u 
= 13 u
= 13 x 10
= $130

Answer(s): $130