In a box, there are chocolate bars of 3 colours, silver, brown and purple. There are 260 more brown chocolate bars than purple chocolate bars. The number of purple chocolate bars is ¹₂ more than the silver chocolate bars. Given that the number of purple chocolate bars is 18% of the total number of chocolate bars in the box, how many more brown chocolate bars are there than silver chocolate bars?

Silver chocolate bars	Brown chocolate bars	Purple chocolate bars
	1 u + 260	1 u
2x6		3x6
82%		18%
12%	70%	18%

1 + ¹₂ = ²₂ + ¹₂ = ³₂

Yellow chocolate bars : Purple chocolate bars = 2 : 3

The number of purple chocolate bars is repeated.  Make the number of purple chocolate bars the same.

3 x 6 = 18%

Total number of silver chocolate bars and brown chocolate bars in percent
= 100% - 18%
= 82%

Number of brown chocolate bars in percent
= 82% - 12%
= 70%

Number of more brown chocolate bars than purple chocolate bars in percent
= 70% - 12%
= 52%

52% = 260

1% = 260 ÷ 52 = 5

Number of more brown chocolate bars than silver chocolate bars
= 70% - 12%
= 58%
= 58 x 5
= 290

Answer(s): 290