In a container, there are candy canes of 3 colours, brown, white and yellow. There are 268 less yellow candy canes than white candy canes. The number of yellow candy canes is ¹₃ more than the brown candy canes. Given that the number of yellow candy canes is 12% of the total number of candy canes in the container, how many less brown candy canes are there than white candy canes?

Brown candy canes	White candy canes	Yellow candy canes
	1 u + 268	1 u
3x3		4x3
88%		12%
9%	79%	12%

1 + ¹₃ = ³₃ + ¹₃ = ⁴₃

Yellow candy canes : Purple candy canes = 3 : 4

The number of yellow candy canes is repeated.  Make the number of yellow candy canes the same.

4 x 3 = 12%

Total number of brown candy canes and white candy canes in percent
= 100% - 12%
= 88%

Number of white candy canes in percent
= 88% - 9%
= 79%

Number of more white candy canes than yellow candy canes in percent
= 79% - 9%
= 67%

67% = 268

1% = 268 ÷ 67 = 4

Number of less brown candy canes than white candy canes
= 79% - 9%
= 70%
= 70 x 4
= 280

Answer(s): 280