In a box, there are candy canes of 3 colours, red, black and blue. There are 132 less blue candy canes than black candy canes. The number of blue candy canes is ¹₄ more than the red candy canes. Given that the number of blue candy canes is 20% of the total number of candy canes in the box, how many less red candy canes are there than black candy canes?

Red candy canes	Black candy canes	Blue candy canes
	1 u + 132	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 blue candy canes is repeated.  Make the number of blue candy canes the same.

5 x 4 = 20%

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

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

Number of more black candy canes than blue candy canes in percent
= 64% - 16%
= 44%

44% = 132

1% = 132 ÷ 44 = 3

Number of less red candy canes than black candy canes
= 64% - 16%
= 48%
= 48 x 3
= 144

Answer(s): 144