In a box, there are candy canes of 3 colours, yellow, gold and purple. There are 268 more gold candy canes than purple candy canes. The number of purple candy canes is ¹₃ more than the yellow candy canes. Given that the number of purple candy canes is 12% of the total number of candy canes in the box, how many more gold candy canes are there than yellow candy canes?

Yellow candy canes	Gold candy canes	Purple candy canes
	1 u + 268	1 u
3x3		4x3
88%		12%
9%	79%	12%

1 + ¹₃ = ³₃ + ¹₃ = ⁴₃

Yellow candy canes : Purple candy canes = 3 : 4

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

4 x 3 = 12%

Total number of yellow candy canes and gold candy canes in percent
= 100% - 12%
= 88%

Number of gold candy canes in percent
= 88% - 9%
= 79%

Number of more gold candy canes than purple candy canes in percent
= 79% - 9%
= 67%

67% = 268

1% = 268 ÷ 67 = 4

Number of more gold candy canes than yellow candy canes
= 79% - 9%
= 70%
= 70 x 4
= 280

Answer(s): 280