In a container, there are candy canes of 3 colours, black, red and silver. There are 308 less silver candy canes than red candy canes. The number of silver candy canes is ¹₄ more than the black candy canes. Given that the number of silver candy canes is 20% of the total number of candy canes in the container, how many less black candy canes are there than red candy canes?

Black candy canes	Red candy canes	Silver candy canes
	1 u + 308	1 u
4x4		5x4
80%		20%
16%	64%	20%

1 + ¹₄ = ⁴₄ + ¹₄ = ⁵₄

Yellow candy canes : Purple candy canes = 4 : 5

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

5 x 4 = 20%

Total number of black candy canes and red candy canes in percent
= 100% - 20%
= 80%

Number of red candy canes in percent
= 80% - 16%
= 64%

Number of more red candy canes than silver candy canes in percent
= 64% - 16%
= 44%

44% = 308

1% = 308 ÷ 44 = 7

Number of less black candy canes than red candy canes
= 64% - 16%
= 48%
= 48 x 7
= 336

Answer(s): 336