In a box, there are candy canes of 3 colours, pink, black and brown. There are 402 less brown candy canes than black candy canes. The number of brown candy canes is ¹₃ more than the pink candy canes. Given that the number of brown candy canes is 12% of the total number of candy canes in the box, how many less pink candy canes are there than black candy canes?

Pink candy canes	Black candy canes	Brown candy canes
	1 u + 402	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 brown candy canes is repeated.  Make the number of brown candy canes the same.

4 x 3 = 12%

Total number of pink candy canes and black candy canes in percent
= 100% - 12%
= 88%

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

Number of more black candy canes than brown candy canes in percent
= 79% - 9%
= 67%

67% = 402

1% = 402 ÷ 67 = 6

Number of less pink candy canes than black candy canes
= 79% - 9%
= 70%
= 70 x 6
= 420

Answer(s): 420