In a container, there are chocolate bars of 3 colours, white, brown and grey. There are 343 more brown chocolate bars than grey chocolate bars. The number of grey chocolate bars is ¹₅ more than the white chocolate bars. Given that the number of grey chocolate bars is 18% of the total number of chocolate bars in the container, how many more brown chocolate bars are there than white chocolate bars?

White chocolate bars	Brown chocolate bars	Grey chocolate bars
	1 u + 343	1 u
5x3		6x3
82%		18%
15%	67%	18%

1 + ¹₅ = ⁵₅ + ¹₅ = ⁶₅

Yellow chocolate bars : Purple chocolate bars = 5 : 6

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

6 x 3 = 18%

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

Number of brown chocolate bars in percent
= 82% - 15%
= 67%

Number of more brown chocolate bars than grey chocolate bars in percent
= 67% - 15%
= 49%

49% = 343

1% = 343 ÷ 49 = 7

Number of more brown chocolate bars than white chocolate bars
= 67% - 15%
= 52%
= 52 x 7
= 364

Answer(s): 364