In a container, there are lollipops of 3 colours, blue, purple and black. There are 476 more purple lollipops than black lollipops. The number of black lollipops is ¹₂ more than the blue lollipops. Given that the number of black lollipops is 12% of the total number of lollipops in the container, how many more purple lollipops are there than blue lollipops?

Blue lollipops	Purple lollipops	Black lollipops
	1 u + 476	1 u
2x4		3x4
88%		12%
8%	80%	12%

1 + ¹₂ = ²₂ + ¹₂ = ³₂

Yellow lollipops : Purple lollipops = 2 : 3

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

3 x 4 = 12%

Total number of blue lollipops and purple lollipops in percent
= 100% - 12%
= 88%

Number of purple lollipops in percent
= 88% - 8%
= 80%

Number of more purple lollipops than black lollipops in percent
= 80% - 8%
= 68%

68% = 476

1% = 476 ÷ 68 = 7

Number of more purple lollipops than blue lollipops
= 80% - 8%
= 72%
= 72 x 7
= 504

Answer(s): 504