In a box, there are candy canes of 3 colours, pink, brown and yellow. There are 120 less yellow candy canes than brown candy canes. The number of yellow candy canes is ¹₄ more than the pink candy canes. Given that the number of yellow candy canes is 25% of the total number of candy canes in the box, how many less pink candy canes are there than brown candy canes?

Pink candy canes	Brown candy canes	Yellow candy canes
	1 u + 120	1 u
4x5		5x5
75%		25%
20%	55%	25%

1 + ¹₄ = ⁴₄ + ¹₄ = ⁵₄

Yellow candy canes : Purple candy canes = 4 : 5

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

5 x 5 = 25%

Total number of pink candy canes and brown candy canes in percent
= 100% - 25%
= 75%

Number of brown candy canes in percent
= 75% - 20%
= 55%

Number of more brown candy canes than yellow candy canes in percent
= 55% - 20%
= 30%

30% = 120

1% = 120 ÷ 30 = 4

Number of less pink candy canes than brown candy canes
= 55% - 20%
= 35%
= 35 x 4
= 140

Answer(s): 140