In a container, there are lollipops of 3 colours, purple, green and blue. There are 416 less blue lollipops than green lollipops. The number of blue lollipops is ¹₂ more than the purple lollipops. Given that the number of blue lollipops is 18% of the total number of lollipops in the container, how many less purple lollipops are there than green lollipops?

Purple lollipops	Green lollipops	Blue lollipops
	1 u + 416	1 u
2x6		3x6
82%		18%
12%	70%	18%

1 + ¹₂ = ²₂ + ¹₂ = ³₂

Yellow lollipops : Purple lollipops = 2 : 3

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

3 x 6 = 18%

Total number of purple lollipops and green lollipops in percent
= 100% - 18%
= 82%

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

Number of more green lollipops than blue lollipops in percent
= 70% - 12%
= 52%

52% = 416

1% = 416 ÷ 52 = 8

Number of less purple lollipops than green lollipops
= 70% - 12%
= 58%
= 58 x 8
= 464

Answer(s): 464