Cole had to paint some boxes. On the first day, the number of boxes he painted was 20% of the number of boxes that he had not painted. One week later, he painted another 81 boxes. As a result, the total number of painted boxes became 25 more than ³₄ of the total number of boxes. How many more boxes were unpainted than painted on the first day?

	Painted	Not painted	Total
Before	1x2 = 2 u	5x2 = 10 u	6x2 = 12 u
Change	+ 81	- 81
After	2 u + 81	10 u - 81	12 u
Comparing painted and not painted boxes in the end	3x3 + 25 = 9 u + 25	1x3 - 25 = 3 u - 25	4x3 = 12 u

20% = ²⁰₁₀₀ = ¹₅
Painted : Not painted = 1 : 5

The total number of boxes remains unchanged. Make the total number of boxes at first and in the end the same.  LCM of 6 and 4 is 12.

The number of boxes painted in the end is repeated.

9 u + 25 = 2 u + 81
9 u - 2 u = 81 - 25
7 u = 56

1 u = 56 ÷ 7 = 8

Number of more boxes that were not painted than painted on the first day
= 10 u - 2 u
= 8 u
= 8 x 8
= 64

Answer(s): 64