In a container, there are lollipops of 3 colours, red, pink and purple. There are 264 more pink lollipops than purple lollipops. The number of purple lollipops is ¹₄ more than the red lollipops. Given that the number of purple lollipops is 20% of the total number of lollipops in the container, how many more pink lollipops are there than red lollipops?

Red lollipops	Pink lollipops	Purple lollipops
	1 u + 264	1 u
4x4		5x4
80%		20%
16%	64%	20%

1 + ¹₄ = ⁴₄ + ¹₄ = ⁵₄

Yellow lollipops : Purple lollipops = 4 : 5

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

5 x 4 = 20%

Total number of red lollipops and pink lollipops in percent
= 100% - 20%
= 80%

Number of pink lollipops in percent
= 80% - 16%
= 64%

Number of more pink lollipops than purple lollipops in percent
= 64% - 16%
= 44%

44% = 264

1% = 264 ÷ 44 = 6

Number of more pink lollipops than red lollipops
= 64% - 16%
= 48%
= 48 x 6
= 288

Answer(s): 288