In a box, there are jelly beans of 3 colours, grey, black and blue. There are 220 more black jelly beans than blue jelly beans. The number of blue jelly beans is ¹₄ more than the grey jelly beans. Given that the number of blue jelly beans is 20% of the total number of jelly beans in the box, how many more black jelly beans are there than grey jelly beans?

Grey jelly beans	Black jelly beans	Blue jelly beans
	1 u + 220	1 u
4x4		5x4
80%		20%
16%	64%	20%

1 + ¹₄ = ⁴₄ + ¹₄ = ⁵₄

Yellow jelly beans : Purple jelly beans = 4 : 5

The number of blue jelly beans is repeated.  Make the number of blue jelly beans the same.

5 x 4 = 20%

Total number of grey jelly beans and black jelly beans in percent
= 100% - 20%
= 80%

Number of black jelly beans in percent
= 80% - 16%
= 64%

Number of more black jelly beans than blue jelly beans in percent
= 64% - 16%
= 44%

44% = 220

1% = 220 ÷ 44 = 5

Number of more black jelly beans than grey jelly beans
= 64% - 16%
= 48%
= 48 x 5
= 240

Answer(s): 240