In a container, there are lollipops of 3 colours, black, brown and pink. There are 112 more brown lollipops than pink lollipops. The number of pink lollipops is ¹₃ more than the black lollipops. Given that the number of pink lollipops is 16% of the total number of lollipops in the container, how many more brown lollipops are there than black lollipops?

Black lollipops	Brown lollipops	Pink lollipops
	1 u + 112	1 u
3x4		4x4
84%		16%
12%	72%	16%

1 + ¹₃ = ³₃ + ¹₃ = ⁴₃

Yellow lollipops : Purple lollipops = 3 : 4

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

4 x 4 = 16%

Total number of black lollipops and brown lollipops in percent
= 100% - 16%
= 84%

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

Number of more brown lollipops than pink lollipops in percent
= 72% - 12%
= 56%

56% = 112

1% = 112 ÷ 56 = 2

Number of more brown lollipops than black lollipops
= 72% - 12%
= 60%
= 60 x 2
= 120

Answer(s): 120