In a box, there are candy canes of 3 colours, silver, black and gold. There are 610 more black candy canes than gold candy canes. The number of gold candy canes is ²₃ more than the silver candy canes. Given that the number of gold candy canes is 15% of the total number of candy canes in the box, how many more black candy canes are there than silver candy canes?

Silver candy canes	Black candy canes	Gold candy canes
	1 u + 610	1 u
3x3		5x3
85%		15%
9%	76%	15%

1 + ²₃ = ³₃ + ²₃ = ⁵₃

Yellow candy canes : Purple candy canes = 3 : 5

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

5 x 3 = 15%

Total number of silver candy canes and black candy canes in percent
= 100% - 15%
= 85%

Number of black candy canes in percent
= 85% - 9%
= 76%

Number of more black candy canes than gold candy canes in percent
= 76% - 9%
= 61%

61% = 610

1% = 610 ÷ 61 = 10

Number of more black candy canes than silver candy canes
= 76% - 9%
= 67%
= 67 x 10
= 670

Answer(s): 670