Ivan and Rael shared some coins in the ratio of 3 : 8. After both each gave away 48 coins to their sister, the ratio of the number of coins Ivan had to the total number of coins left was 1 : 5. How many coins did the two boys have in the end?

	Ivan	Rael	Difference
Before	3x3 = 9 u	8x3 = 24 u	5x3 = 15 u
Change	- 48	- 48
After	1x5 = 5 u	4x5 = 20 u	3x5 = 15 u

Number of coins that Ivan and Rael each gave to their sister is the same.

The difference in the number of coins at first and in the end between Ivan and Rael remains unchanged.  Make the difference in the number of coins the same.  LCM of 5 and 3 is 15.

Number of coins that Ivan gave to their sister
= 9 u - 5 u
= 4 u

4 u = 48

1 u = 48 ÷ 4 = 12

Number of coins that the two boys had in the end
= 5 u + 20 u
= 25 u
= 25 x 12
= 300

Answer(s): 300