In a box, there are chocolate bars of 3 colours, blue, white and brown. There are 270 more white chocolate bars than brown chocolate bars. The number of brown chocolate bars is ¹₃ more than the blue chocolate bars. Given that the number of brown chocolate bars is 20% of the total number of chocolate bars in the box, how many more white chocolate bars are there than blue chocolate bars?

Blue chocolate bars	White chocolate bars	Brown chocolate bars
	1 u + 270	1 u
3x5		4x5
80%		20%
15%	65%	20%

1 + ¹₃ = ³₃ + ¹₃ = ⁴₃

Yellow chocolate bars : Purple chocolate bars = 3 : 4

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

4 x 5 = 20%

Total number of blue chocolate bars and white chocolate bars in percent
= 100% - 20%
= 80%

Number of white chocolate bars in percent
= 80% - 15%
= 65%

Number of more white chocolate bars than brown chocolate bars in percent
= 65% - 15%
= 45%

45% = 270

1% = 270 ÷ 45 = 6

Number of more white chocolate bars than blue chocolate bars
= 65% - 15%
= 50%
= 50 x 6
= 300

Answer(s): 300