In a box, there are jelly beans of 3 colours, blue, black and silver. There are 184 more black jelly beans than silver jelly beans. The number of silver jelly beans is ¹₃ more than the blue jelly beans. Given that the number of silver jelly beans is 28% of the total number of jelly beans in the box, how many more black jelly beans are there than blue jelly beans?

Blue jelly beans	Black jelly beans	Silver jelly beans
	1 u + 184	1 u
3x7		4x7
72%		28%
21%	51%	28%

1 + ¹₃ = ³₃ + ¹₃ = ⁴₃

Yellow jelly beans : Purple jelly beans = 3 : 4

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

4 x 7 = 28%

Total number of blue jelly beans and black jelly beans in percent
= 100% - 28%
= 72%

Number of black jelly beans in percent
= 72% - 21%
= 51%

Number of more black jelly beans than silver jelly beans in percent
= 51% - 21%
= 23%

23% = 184

1% = 184 ÷ 23 = 8

Number of more black jelly beans than blue jelly beans
= 51% - 21%
= 30%
= 30 x 8
= 240

Answer(s): 240