In a box, there are candy canes of 3 colours, grey, yellow and pink. There are 420 less pink candy canes than yellow candy canes. The number of pink candy canes is ¹₂ more than the grey candy canes. Given that the number of pink candy canes is 15% of the total number of candy canes in the box, how many less grey candy canes are there than yellow candy canes?

Grey candy canes	Yellow candy canes	Pink candy canes
	1 u + 420	1 u
2x5		3x5
85%		15%
10%	75%	15%

1 + ¹₂ = ²₂ + ¹₂ = ³₂

Yellow candy canes : Purple candy canes = 2 : 3

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

3 x 5 = 15%

Total number of grey candy canes and yellow candy canes in percent
= 100% - 15%
= 85%

Number of yellow candy canes in percent
= 85% - 10%
= 75%

Number of more yellow candy canes than pink candy canes in percent
= 75% - 10%
= 60%

60% = 420

1% = 420 ÷ 60 = 7

Number of less grey candy canes than yellow candy canes
= 75% - 10%
= 65%
= 65 x 7
= 455

Answer(s): 455