In a box, there are candy canes of 3 colours, gold, black and green. There are 96 less green candy canes than black candy canes. The number of green candy canes is ¹₄ more than the gold candy canes. Given that the number of green candy canes is 30% of the total number of candy canes in the box, how many less gold candy canes are there than black candy canes?

Gold candy canes	Black candy canes	Green candy canes
	1 u + 96	1 u
4x6		5x6
70%		30%
24%	46%	30%

1 + ¹₄ = ⁴₄ + ¹₄ = ⁵₄

Yellow candy canes : Purple candy canes = 4 : 5

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

5 x 6 = 30%

Total number of gold candy canes and black candy canes in percent
= 100% - 30%
= 70%

Number of black candy canes in percent
= 70% - 24%
= 46%

Number of more black candy canes than green candy canes in percent
= 46% - 24%
= 16%

16% = 96

1% = 96 ÷ 16 = 6

Number of less gold candy canes than black candy canes
= 46% - 24%
= 22%
= 22 x 6
= 132

Answer(s): 132