In a box, there are jelly beans of 3 colours, black, yellow and silver. There are 32 less silver jelly beans than yellow jelly beans. The number of silver jelly beans is ¹₄ more than the black jelly beans. Given that the number of silver jelly beans is 30% of the total number of jelly beans in the box, how many less black jelly beans are there than yellow jelly beans?

Black jelly beans	Yellow jelly beans	Silver jelly beans
	1 u + 32	1 u
4x6		5x6
70%		30%
24%	46%	30%

1 + ¹₄ = ⁴₄ + ¹₄ = ⁵₄

Yellow jelly beans : Purple jelly beans = 4 : 5

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

5 x 6 = 30%

Total number of black jelly beans and yellow jelly beans in percent
= 100% - 30%
= 70%

Number of yellow jelly beans in percent
= 70% - 24%
= 46%

Number of more yellow jelly beans than silver jelly beans in percent
= 46% - 24%
= 16%

16% = 32

1% = 32 ÷ 16 = 2

Number of less black jelly beans than yellow jelly beans
= 46% - 24%
= 22%
= 22 x 2
= 44

Answer(s): 44