In a box, there are candy canes of 3 colours, grey, red and white. There are 408 less white candy canes than red candy canes. The number of white candy canes is ¹₂ more than the grey candy canes. Given that the number of white candy canes is 12% of the total number of candy canes in the box, how many less grey candy canes are there than red candy canes?

Grey candy canes	Red candy canes	White candy canes
	1 u + 408	1 u
2x4		3x4
88%		12%
8%	80%	12%

1 + ¹₂ = ²₂ + ¹₂ = ³₂

Yellow candy canes : Purple candy canes = 2 : 3

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

3 x 4 = 12%

Total number of grey candy canes and red candy canes in percent
= 100% - 12%
= 88%

Number of red candy canes in percent
= 88% - 8%
= 80%

Number of more red candy canes than white candy canes in percent
= 80% - 8%
= 68%

68% = 408

1% = 408 ÷ 68 = 6

Number of less grey candy canes than red candy canes
= 80% - 8%
= 72%
= 72 x 6
= 432

Answer(s): 432