Cody, Cole and Ken had some marbles. Cole had 25% more marbles than Cody. Cole had ³₅ of Ken's. After Cody gave 12 marbles to Cole, he had ¹₂ of what Cole had. How many more marbles did Ken have than Cole in the end?

Cody	Cole	Ken
4x3	5x3
	3x5	5x5
12	15	25

	Ken	Cody	Cole	Total marbles of  Cody and Cole
Before	25x1 = 25 u	12x1 = 12 u	15x1 = 15 u	27x1 = 27 u
Change		- 12	+ 12
After	25 u	1x9 = 9 u	2x9 = 18 u	3x9 = 27 u

Number of marbles that Cole had more than Cody at first in percent
= 100%+ 25%
= 125%

125% = ¹²⁵₁₀₀ = ⁵₄

Cody : Cole = 4 : 5

The number of marbles that Cole had at first is repeated.  Make the number of marbles that Cole had at first the same.  LCM of 5 and 3 is 15.

When Cody gave 12 marbles to Cole, the total number of marbles that Cole and Cody had at first and in the end remains the same.  Make the total number of marbles that Cole and Cody had the same.  LCM of 27 and 3 is 27.

Number of marbles that Cody gave to Cole
= 12 u - 9 u
= 3 u

3 u = 12

1 u = 12 ÷ 3 = 4

Number of marbles that Ken had more than Cole in the end
= 25 u - 18 u
= 7 u
= 7 x 4
= 28

Answer(s): 28