In a container, there are candy canes of 3 colours, black, red and grey. There are 245 less grey candy canes than red candy canes. The number of grey candy canes is ²₃ more than the black candy canes. Given that the number of grey candy canes is 25% 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	Grey candy canes
	1 u + 245	1 u
3x5		5x5
75%		25%
15%	60%	25%

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 5 = 25%

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

Number of red candy canes in percent
= 75% - 15%
= 60%

Number of more red candy canes than grey candy canes in percent
= 60% - 15%
= 35%

35% = 245

1% = 245 ÷ 35 = 7

Number of less black candy canes than red candy canes
= 60% - 15%
= 45%
= 45 x 7
= 315

Answer(s): 315