In a container, there are candy canes of 3 colours, pink, red and purple. There are 70 less purple candy canes than red candy canes. The number of purple candy canes is ²₃ more than the pink candy canes. Given that the number of purple candy canes is 25% of the total number of candy canes in the container, how many less pink candy canes are there than red candy canes?

Pink candy canes	Red candy canes	Purple candy canes
	1 u + 70	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 purple candy canes is repeated.  Make the number of purple candy canes the same.

5 x 5 = 25%

Total number of pink 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 purple candy canes in percent
= 60% - 15%
= 35%

35% = 70

1% = 70 ÷ 35 = 2

Number of less pink candy canes than red candy canes
= 60% - 15%
= 45%
= 45 x 2
= 90

Answer(s): 90