In a container, there are lollipops of 3 colours, red, purple and white. There are 102 less white lollipops than purple lollipops. The number of white lollipops is ¹₃ more than the red lollipops. Given that the number of white lollipops is 24% of the total number of lollipops in the container, how many less red lollipops are there than purple lollipops?

Red lollipops	Purple lollipops	White lollipops
	1 u + 102	1 u
3x6		4x6
76%		24%
18%	58%	24%

1 + ¹₃ = ³₃ + ¹₃ = ⁴₃

Yellow lollipops : Purple lollipops = 3 : 4

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

4 x 6 = 24%

Total number of red lollipops and purple lollipops in percent
= 100% - 24%
= 76%

Number of purple lollipops in percent
= 76% - 18%
= 58%

Number of more purple lollipops than white lollipops in percent
= 58% - 18%
= 34%

34% = 102

1% = 102 ÷ 34 = 3

Number of less red lollipops than purple lollipops
= 58% - 18%
= 40%
= 40 x 3
= 120

Answer(s): 120