In a box, there are lollipops of 3 colours, red, purple and pink. There are 380 less pink lollipops than purple lollipops. The number of pink lollipops is ¹₂ more than the red lollipops. Given that the number of pink lollipops is 9% of the total number of lollipops in the box, how many less red lollipops are there than purple lollipops?

Red lollipops	Purple lollipops	Pink lollipops
	1 u + 380	1 u
2x3		3x3
91%		9%
6%	85%	9%

1 + ¹₂ = ²₂ + ¹₂ = ³₂

Yellow lollipops : Purple lollipops = 2 : 3

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

3 x 3 = 9%

Total number of red lollipops and purple lollipops in percent
= 100% - 9%
= 91%

Number of purple lollipops in percent
= 91% - 6%
= 85%

Number of more purple lollipops than pink lollipops in percent
= 85% - 6%
= 76%

76% = 380

1% = 380 ÷ 76 = 5

Number of less red lollipops than purple lollipops
= 85% - 6%
= 79%
= 79 x 5
= 395

Answer(s): 395