In a container, there are chocolate bars of 3 colours, yellow, white and red. There are 256 less red chocolate bars than white chocolate bars. The number of red chocolate bars is ¹₅ more than the yellow chocolate bars. Given that the number of red chocolate bars is 24% of the total number of chocolate bars in the container, how many less yellow chocolate bars are there than white chocolate bars?

Yellow chocolate bars	White chocolate bars	Red chocolate bars
	1 u + 256	1 u
5x4		6x4
76%		24%
20%	56%	24%

1 + ¹₅ = ⁵₅ + ¹₅ = ⁶₅

Yellow chocolate bars : Purple chocolate bars = 5 : 6

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

6 x 4 = 24%

Total number of yellow chocolate bars and white chocolate bars in percent
= 100% - 24%
= 76%

Number of white chocolate bars in percent
= 76% - 20%
= 56%

Number of more white chocolate bars than red chocolate bars in percent
= 56% - 20%
= 32%

32% = 256

1% = 256 ÷ 32 = 8

Number of less yellow chocolate bars than white chocolate bars
= 56% - 20%
= 36%
= 36 x 8
= 288

Answer(s): 288