Eva, Betty, Nora and Hazel received a sum of money. Eva received ³₈ of the total amount of money Betty, Nora and Hazel received. Betty received ¹₅ of the total amount of money Nora and Hazel received. Nora received ¹₃ as much money as Hazel. If Eva received $52 more than Nora, find the total sum of money the 4 girls received.

Eva	Betty	Nora	Hazel	Total
3x3	8x3
	1x4	5x4
		1x5	3x5
9 u	4 u	5 u	15 u	33 u

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

The total amount that Betty, Nora and Hazel have is repeated.  Make the total amount that Betty, Nora and Hazel have the same. LCM of 6 and 8 is 24.

Amount that Eva had more than Nora
= 9 u - 5 u
= 4 u

4 u = 52

1 u = 52 ÷ 4 = 13

Total sum of money that 4 girls received
= 9 u + 4 u + 5 u + 15 u 
= 33 u
= 33 x 13
= $429

Answer(s): $429