In a container, there are candy canes of 3 colours, red, gold and grey. There are 54 less grey candy canes than gold candy canes. The number of grey candy canes is ²₃ more than the red candy canes. Given that the number of grey candy canes is 35% of the total number of candy canes in the container, how many less red candy canes are there than gold candy canes?

Red candy canes	Gold candy canes	Grey candy canes
	1 u + 54	1 u
3x7		5x7
65%		35%
21%	44%	35%

1 + ²₃ = ³₃ + ²₃ = ⁵₃

Yellow candy canes : Purple candy canes = 3 : 5

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

5 x 7 = 35%

Total number of red candy canes and gold candy canes in percent
= 100% - 35%
= 65%

Number of gold candy canes in percent
= 65% - 21%
= 44%

Number of more gold candy canes than grey candy canes in percent
= 44% - 21%
= 9%

9% = 54

1% = 54 ÷ 9 = 6

Number of less red candy canes than gold candy canes
= 44% - 21%
= 23%
= 23 x 6
= 138

Answer(s): 138