In a box, there are lollipops of 3 colours, purple, green and black. There are 176 less black lollipops than green lollipops. The number of black lollipops is ¹₂ more than the purple lollipops. Given that the number of black lollipops is 21% of the total number of lollipops in the box, how many less purple lollipops are there than green lollipops?

Purple lollipops	Green lollipops	Black lollipops
	1 u + 176	1 u
2x7		3x7
79%		21%
14%	65%	21%

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 7 = 21%

Total number of purple lollipops and green lollipops in percent
= 100% - 21%
= 79%

Number of green lollipops in percent
= 79% - 14%
= 65%

Number of more green lollipops than black lollipops in percent
= 65% - 14%
= 44%

44% = 176

1% = 176 ÷ 44 = 4

Number of less purple lollipops than green lollipops
= 65% - 14%
= 51%
= 51 x 4
= 204

Answer(s): 204