In a box, there are lollipops of 3 colours, grey, yellow and black. There are 268 more yellow lollipops than black lollipops. The number of black lollipops is ¹₃ more than the grey lollipops. Given that the number of black lollipops is 12% of the total number of lollipops in the box, how many more yellow lollipops are there than grey lollipops?

Grey lollipops	Yellow lollipops	Black lollipops
	1 u + 268	1 u
3x3		4x3
88%		12%
9%	79%	12%

1 + ¹₃ = ³₃ + ¹₃ = ⁴₃

Yellow lollipops : Purple lollipops = 3 : 4

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

4 x 3 = 12%

Total number of grey lollipops and yellow lollipops in percent
= 100% - 12%
= 88%

Number of yellow lollipops in percent
= 88% - 9%
= 79%

Number of more yellow lollipops than black lollipops in percent
= 79% - 9%
= 67%

67% = 268

1% = 268 ÷ 67 = 4

Number of more yellow lollipops than grey lollipops
= 79% - 9%
= 70%
= 70 x 4
= 280

Answer(s): 280