In a box, there are candy canes of 3 colours, gold, black and green. There are 90 more black candy canes than green 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 25% of the total number of candy canes in the box, how many more black candy canes are there than gold candy canes?

Gold candy canes	Black candy canes	Green candy canes
	1 u + 90	1 u
4x5		5x5
75%		25%
20%	55%	25%

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 5 = 25%

Total number of gold candy canes and black candy canes in percent
= 100% - 25%
= 75%

Number of black candy canes in percent
= 75% - 20%
= 55%

Number of more black candy canes than green candy canes in percent
= 55% - 20%
= 30%

30% = 90

1% = 90 ÷ 30 = 3

Number of more black candy canes than gold candy canes
= 55% - 20%
= 35%
= 35 x 3
= 105

Answer(s): 105