In a box, there are candy canes of 3 colours, grey, silver and black. There are 90 less black candy canes than silver candy canes. The number of black candy canes is ¹₄ more than the grey candy canes. Given that the number of black candy canes is 25% of the total number of candy canes in the box, how many less grey candy canes are there than silver candy canes?

Grey candy canes	Silver candy canes	Black candy canes
	1 u + 90	1 u
4x5		5x5
75%		25%
20%	55%	25%

1 + ¹₄ = ⁴₄ + ¹₄ = ⁵₄

Yellow candy canes : Purple candy canes = 4 : 5

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

5 x 5 = 25%

Total number of grey candy canes and silver candy canes in percent
= 100% - 25%
= 75%

Number of silver candy canes in percent
= 75% - 20%
= 55%

Number of more silver candy canes than black candy canes in percent
= 55% - 20%
= 30%

30% = 90

1% = 90 ÷ 30 = 3

Number of less grey candy canes than silver candy canes
= 55% - 20%
= 35%
= 35 x 3
= 105

Answer(s): 105