In a box, there are candy canes of 3 colours, purple, grey and green. There are 63 less green candy canes than grey candy canes. The number of green candy canes is ²₃ more than the purple candy canes. Given that the number of green candy canes is 35% of the total number of candy canes in the box, how many less purple candy canes are there than grey candy canes?

Purple candy canes	Grey candy canes	Green candy canes
	1 u + 63	1 u
3x7		5x7
65%		35%
21%	44%	35%

1 + ²₃ = ³₃ + ²₃ = ⁵₃

Yellow candy canes : Purple candy canes = 3 : 5

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

5 x 7 = 35%

Total number of purple candy canes and grey candy canes in percent
= 100% - 35%
= 65%

Number of grey candy canes in percent
= 65% - 21%
= 44%

Number of more grey candy canes than green candy canes in percent
= 44% - 21%
= 9%

9% = 63

1% = 63 ÷ 9 = 7

Number of less purple candy canes than grey candy canes
= 44% - 21%
= 23%
= 23 x 7
= 161

Answer(s): 161