Betty, Cindy, Emma and Usha received a sum of money. Betty received ³₈ of the total amount of money Cindy, Emma and Usha received. Cindy received ¹₃ of the total amount of money Emma and Usha received. Emma received ¹₅ as much money as Usha. If Betty received $26 more than Emma, find the total sum of money the 4 girls received.

Betty	Cindy	Emma	Usha	Total
3x1	8x1
	1x2	3x2
		1x1	5x1
3 u	2 u	1 u	5 u	11 u

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

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

Amount that Betty had more than Emma
= 3 u - 1 u
= 2 u

2 u = 26

1 u = 26 ÷ 2 = 13

Total sum of money that 4 girls received
= 3 u + 2 u + 1 u + 5 u 
= 11 u
= 11 x 13
= $143

Answer(s): $143