In a box, there are candy canes of 3 colours, yellow, pink and black. There are 150 more pink candy canes than black candy canes. The number of black candy canes is ¹₄ more than the yellow candy canes. Given that the number of black candy canes is 25% of the total number of candy canes in the box, how many more pink candy canes are there than yellow candy canes?

Yellow candy canes	Pink candy canes	Black candy canes
	1 u + 150	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 black candy canes is repeated.  Make the number of black candy canes the same.

5 x 5 = 25%

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

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

Number of more pink candy canes than black candy canes in percent
= 55% - 20%
= 30%

30% = 150

1% = 150 ÷ 30 = 5

Number of more pink candy canes than yellow candy canes
= 55% - 20%
= 35%
= 35 x 5
= 175

Answer(s): 175