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

Purple candy canes	White candy canes	Yellow 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 yellow candy canes is repeated.  Make the number of yellow candy canes the same.

3 x 6 = 18%

Total number of purple candy canes and white candy canes in percent
= 100% - 18%
= 82%

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

Number of more white candy canes than yellow candy canes in percent
= 70% - 12%
= 52%

52% = 312

1% = 312 ÷ 52 = 6

Number of less purple candy canes than white candy canes
= 70% - 12%
= 58%
= 58 x 6
= 348

Answer(s): 348