In a container, there are chocolate bars of 3 colours, black, brown and yellow. There are 440 less yellow chocolate bars than brown chocolate bars. The number of yellow chocolate bars is ¹₄ more than the black chocolate bars. Given that the number of yellow chocolate bars is 20% of the total number of chocolate bars in the container, how many less black chocolate bars are there than brown chocolate bars?

Black chocolate bars	Brown chocolate bars	Yellow chocolate bars
	1 u + 440	1 u
4x4		5x4
80%		20%
16%	64%	20%

1 + ¹₄ = ⁴₄ + ¹₄ = ⁵₄

Yellow chocolate bars : Purple chocolate bars = 4 : 5

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

5 x 4 = 20%

Total number of black chocolate bars and brown chocolate bars in percent
= 100% - 20%
= 80%

Number of brown chocolate bars in percent
= 80% - 16%
= 64%

Number of more brown chocolate bars than yellow chocolate bars in percent
= 64% - 16%
= 44%

44% = 440

1% = 440 ÷ 44 = 10

Number of less black chocolate bars than brown chocolate bars
= 64% - 16%
= 48%
= 48 x 10
= 480

Answer(s): 480