In a container, there are chocolate bars of 3 colours, yellow, white and gold. There are 469 less gold chocolate bars than white chocolate bars. The number of gold chocolate bars is ¹₃ more than the yellow chocolate bars. Given that the number of gold chocolate bars is 12% 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	Gold chocolate bars
	1 u + 469	1 u
3x3		4x3
88%		12%
9%	79%	12%

1 + ¹₃ = ³₃ + ¹₃ = ⁴₃

Yellow chocolate bars : Purple chocolate bars = 3 : 4

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

4 x 3 = 12%

Total number of yellow chocolate bars and white chocolate bars in percent
= 100% - 12%
= 88%

Number of white chocolate bars in percent
= 88% - 9%
= 79%

Number of more white chocolate bars than gold chocolate bars in percent
= 79% - 9%
= 67%

67% = 469

1% = 469 ÷ 67 = 7

Number of less yellow chocolate bars than white chocolate bars
= 79% - 9%
= 70%
= 70 x 7
= 490

Answer(s): 490