In a box, there are candy canes of 3 colours, yellow, pink and brown. There are 312 more pink candy canes than brown candy canes. The number of brown candy canes is ¹₂ more than the yellow candy canes. Given that the number of brown candy canes is 18% of the total number of candy canes in the box, how many more pink candy canes are there than yellow candy canes?

Yellow candy canes	Pink candy canes	Brown candy canes
	1 u + 312	1 u
2x6		3x6
82%		18%
12%	70%	18%

1 + ¹₂ = ²₂ + ¹₂ = ³₂

Yellow candy canes : Purple candy canes = 2 : 3

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

3 x 6 = 18%

Total number of yellow candy canes and pink candy canes in percent
= 100% - 18%
= 82%

Number of pink candy canes in percent
= 82% - 12%
= 70%

Number of more pink candy canes than brown candy canes in percent
= 70% - 12%
= 52%

52% = 312

1% = 312 ÷ 52 = 6

Number of more pink candy canes than yellow candy canes
= 70% - 12%
= 58%
= 58 x 6
= 348

Answer(s): 348