In a box, there are lollipops of 3 colours, blue, gold and black. There are 208 less black lollipops than gold lollipops. The number of black lollipops is ¹₂ more than the blue lollipops. Given that the number of black lollipops is 18% of the total number of lollipops in the box, how many less blue lollipops are there than gold lollipops?

Blue lollipops	Gold lollipops	Black lollipops
	1 u + 208	1 u
2x6		3x6
82%		18%
12%	70%	18%

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 6 = 18%

Total number of blue lollipops and gold lollipops in percent
= 100% - 18%
= 82%

Number of gold lollipops in percent
= 82% - 12%
= 70%

Number of more gold lollipops than black lollipops in percent
= 70% - 12%
= 52%

52% = 208

1% = 208 ÷ 52 = 4

Number of less blue lollipops than gold lollipops
= 70% - 12%
= 58%
= 58 x 4
= 232

Answer(s): 232