In a container, there are chocolate bars of 3 colours, silver, brown and yellow. There are 96 less yellow chocolate bars than brown chocolate bars. The number of yellow chocolate bars is ¹₄ more than the silver chocolate bars. Given that the number of yellow chocolate bars is 30% of the total number of chocolate bars in the container, how many less silver chocolate bars are there than brown chocolate bars?

Silver chocolate bars	Brown chocolate bars	Yellow chocolate bars
	1 u + 96	1 u
4x6		5x6
70%		30%
24%	46%	30%

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 6 = 30%

Total number of silver chocolate bars and brown chocolate bars in percent
= 100% - 30%
= 70%

Number of brown chocolate bars in percent
= 70% - 24%
= 46%

Number of more brown chocolate bars than yellow chocolate bars in percent
= 46% - 24%
= 16%

16% = 96

1% = 96 ÷ 16 = 6

Number of less silver chocolate bars than brown chocolate bars
= 46% - 24%
= 22%
= 22 x 6
= 132

Answer(s): 132