In a container, there are lollipops of 3 colours, gold, blue and purple. There are 392 more blue lollipops than purple lollipops. The number of purple lollipops is ¹₃ more than the gold lollipops. Given that the number of purple lollipops is 16% of the total number of lollipops in the container, how many more blue lollipops are there than gold lollipops?

Gold lollipops	Blue lollipops	Purple lollipops
	1 u + 392	1 u
3x4		4x4
84%		16%
12%	72%	16%

1 + ¹₃ = ³₃ + ¹₃ = ⁴₃

Yellow lollipops : Purple lollipops = 3 : 4

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

4 x 4 = 16%

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

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

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

56% = 392

1% = 392 ÷ 56 = 7

Number of more blue lollipops than gold lollipops
= 72% - 12%
= 60%
= 60 x 7
= 420

Answer(s): 420