In a box, there are jelly beans of 3 colours, blue, silver and yellow. There are 396 less yellow jelly beans than silver jelly beans. The number of yellow jelly beans is ¹₄ more than the blue jelly beans. Given that the number of yellow jelly beans is 20% of the total number of jelly beans in the box, how many less blue jelly beans are there than silver jelly beans?

Blue jelly beans	Silver jelly beans	Yellow jelly beans
	1 u + 396	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 yellow jelly beans is repeated.  Make the number of yellow jelly beans the same.

5 x 4 = 20%

Total number of blue jelly beans and silver jelly beans in percent
= 100% - 20%
= 80%

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

Number of more silver jelly beans than yellow jelly beans in percent
= 64% - 16%
= 44%

44% = 396

1% = 396 ÷ 44 = 9

Number of less blue jelly beans than silver jelly beans
= 64% - 16%
= 48%
= 48 x 9
= 432

Answer(s): 432