In a box, there are candy canes of 3 colours, white, purple and grey. There are 315 more purple candy canes than grey candy canes. The number of grey candy canes is ²₃ more than the white candy canes. Given that the number of grey candy canes is 25% of the total number of candy canes in the box, how many more purple candy canes are there than white candy canes?

White candy canes	Purple candy canes	Grey candy canes
	1 u + 315	1 u
3x5		5x5
75%		25%
15%	60%	25%

1 + ²₃ = ³₃ + ²₃ = ⁵₃

Yellow candy canes : Purple candy canes = 3 : 5

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

5 x 5 = 25%

Total number of white candy canes and purple candy canes in percent
= 100% - 25%
= 75%

Number of purple candy canes in percent
= 75% - 15%
= 60%

Number of more purple candy canes than grey candy canes in percent
= 60% - 15%
= 35%

35% = 315

1% = 315 ÷ 35 = 9

Number of more purple candy canes than white candy canes
= 60% - 15%
= 45%
= 45 x 9
= 405

Answer(s): 405