Fred, Ethan and George had some marbles. Ethan had 80% less marbles than Fred. Ethan had ³₈ of George's. After Fred gave 210 marbles to Ethan, he had ¹₃ of what Ethan had. How many more marbles did George have than Fred in the end?

Fred	Ethan	George
5x3	1x3
	3x1	8x1
15	3	8

	George	Fred	Ethan	Total marbles of  Fred and Ethan
Before	8x2 = 16 u	15x2 = 30 u	3x2 = 6 u	18x2 = 36 u
Change		- 210	+ 210
After	16 u	1x9 = 9 u	3x9 = 27 u	4x9 = 36 u

Number of marbles that Ethan had less than Fred at first in percent
= 100% - 80%
= 20%

20% = ²⁰₁₀₀ = ¹₅

Fred : Ethan = 5 : 1

The number of marbles that Ethan had at first is repeated.  Make the number of marbles that Ethan had at first the same.  LCM of 1 and 3 is 3.

When Fred gave 210 marbles to Ethan, the total number of marbles that Ethan and Fred had at first and in the end remains the same.  Make the total number of marbles that Ethan and Fred had the same.  LCM of 18 and 4 is 36.

Number of marbles that Fred gave to Ethan
= 30 u - 9 u
= 21 u

21 u = 210

1 u = 210 ÷ 21 = 10

Number of marbles that George had more than Fred in the end
= 16 u - 9 u
= 7 u
= 7 x 10
= 70

Answer(s): 70