Elijah, Albert and Vincent had some beads. Albert had 25% more beads than Elijah. Albert had ³₈ of Vincent's. After Elijah gave 12 beads to Albert, he had ¹₂ of what Albert had. How many more beads did Vincent have than Albert in the end?

Elijah	Albert	Vincent
4x3	5x3
	3x5	8x5
12	15	40

	Vincent	Elijah	Albert	Total beads of  Elijah and Albert
Before	40x1 = 40 u	12x1 = 12 u	15x1 = 15 u	27x1 = 27 u
Change		- 12	+ 12
After	40 u	1x9 = 9 u	2x9 = 18 u	3x9 = 27 u

Number of beads that Albert had more than Elijah at first in percent
= 100%+ 25%
= 125%

125% = ¹²⁵₁₀₀ = ⁵₄

Elijah : Albert = 4 : 5

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

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

Number of beads that Elijah gave to Albert
= 12 u - 9 u
= 3 u

3 u = 12

1 u = 12 ÷ 3 = 4

Number of beads that Vincent had more than Albert in the end
= 40 u - 18 u
= 22 u
= 22 x 4
= 88

Answer(s): 88