In a box, there are lollipops of 3 colours, grey, blue and red. There are 63 less red lollipops than blue lollipops. The number of red lollipops is ²₃ more than the grey lollipops. Given that the number of red lollipops is 35% of the total number of lollipops in the box, how many less grey lollipops are there than blue lollipops?

Grey lollipops	Blue lollipops	Red lollipops
	1 u + 63	1 u
3x7		5x7
65%		35%
21%	44%	35%

1 + ²₃ = ³₃ + ²₃ = ⁵₃

Yellow lollipops : Purple lollipops = 3 : 5

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

5 x 7 = 35%

Total number of grey lollipops and blue lollipops in percent
= 100% - 35%
= 65%

Number of blue lollipops in percent
= 65% - 21%
= 44%

Number of more blue lollipops than red lollipops in percent
= 44% - 21%
= 9%

9% = 63

1% = 63 ÷ 9 = 7

Number of less grey lollipops than blue lollipops
= 44% - 21%
= 23%
= 23 x 7
= 161

Answer(s): 161