In a container, there are candy canes of 3 colours, silver, green and black. There are 315 less black candy canes than green candy canes. The number of black candy canes is ¹₃ more than the silver candy canes. Given that the number of black candy canes is 20% of the total number of candy canes in the container, how many less silver candy canes are there than green candy canes?

Silver candy canes	Green candy canes	Black candy canes
	1 u + 315	1 u
3x5		4x5
80%		20%
15%	65%	20%

1 + ¹₃ = ³₃ + ¹₃ = ⁴₃

Yellow candy canes : Purple candy canes = 3 : 4

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

4 x 5 = 20%

Total number of silver candy canes and green candy canes in percent
= 100% - 20%
= 80%

Number of green candy canes in percent
= 80% - 15%
= 65%

Number of more green candy canes than black candy canes in percent
= 65% - 15%
= 45%

45% = 315

1% = 315 ÷ 45 = 7

Number of less silver candy canes than green candy canes
= 65% - 15%
= 50%
= 50 x 7
= 350

Answer(s): 350