In a box, there are candy canes of 3 colours, green, black and blue. There are 90 more black candy canes than blue candy canes. The number of blue candy canes is ²₃ more than the green candy canes. Given that the number of blue candy canes is 35% of the total number of candy canes in the box, how many more black candy canes are there than green candy canes?

Green candy canes	Black candy canes	Blue candy canes
	1 u + 90	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 blue candy canes is repeated.  Make the number of blue candy canes the same.

5 x 7 = 35%

Total number of green candy canes and black candy canes in percent
= 100% - 35%
= 65%

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

Number of more black candy canes than blue candy canes in percent
= 44% - 21%
= 9%

9% = 90

1% = 90 ÷ 9 = 10

Number of more black candy canes than green candy canes
= 44% - 21%
= 23%
= 23 x 10
= 230

Answer(s): 230