In a box, there are lollipops of 3 colours, purple, blue and black. There are 224 more blue lollipops than black lollipops. The number of black lollipops is ¹₃ more than the purple lollipops. Given that the number of black lollipops is 16% of the total number of lollipops in the box, how many more blue lollipops are there than purple lollipops?

Purple lollipops	Blue lollipops	Black lollipops
	1 u + 224	1 u
3x4		4x4
84%		16%
12%	72%	16%

1 + ¹₃ = ³₃ + ¹₃ = ⁴₃

Yellow lollipops : Purple lollipops = 3 : 4

The number of black lollipops is repeated.  Make the number of black lollipops the same.

4 x 4 = 16%

Total number of purple lollipops and blue lollipops in percent
= 100% - 16%
= 84%

Number of blue lollipops in percent
= 84% - 12%
= 72%

Number of more blue lollipops than black lollipops in percent
= 72% - 12%
= 56%

56% = 224

1% = 224 ÷ 56 = 4

Number of more blue lollipops than purple lollipops
= 72% - 12%
= 60%
= 60 x 4
= 240

Answer(s): 240