In a container, there are candy canes of 3 colours, green, black and gold. There are 420 less gold candy canes than black candy canes. The number of gold candy canes is ¹₂ more than the green candy canes. Given that the number of gold candy canes is 15% of the total number of candy canes in the container, how many less green candy canes are there than black candy canes?

Green candy canes	Black candy canes	Gold 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 gold candy canes is repeated.  Make the number of gold candy canes the same.

3 x 5 = 15%

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

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

Number of more black candy canes than gold candy canes in percent
= 75% - 10%
= 60%

60% = 420

1% = 420 ÷ 60 = 7

Number of less green candy canes than black candy canes
= 75% - 10%
= 65%
= 65 x 7
= 455

Answer(s): 455