In a container, there are jelly beans of 3 colours, black, pink and grey. There are 105 less grey jelly beans than pink jelly beans. The number of grey jelly beans is ²₃ more than the black jelly beans. Given that the number of grey jelly beans is 25% of the total number of jelly beans in the container, how many less black jelly beans are there than pink jelly beans?

Black jelly beans	Pink jelly beans	Grey jelly beans
	1 u + 105	1 u
3x5		5x5
75%		25%
15%	60%	25%

1 + ²₃ = ³₃ + ²₃ = ⁵₃

Yellow jelly beans : Purple jelly beans = 3 : 5

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

5 x 5 = 25%

Total number of black jelly beans and pink jelly beans in percent
= 100% - 25%
= 75%

Number of pink jelly beans in percent
= 75% - 15%
= 60%

Number of more pink jelly beans than grey jelly beans in percent
= 60% - 15%
= 35%

35% = 105

1% = 105 ÷ 35 = 3

Number of less black jelly beans than pink jelly beans
= 60% - 15%
= 45%
= 45 x 3
= 135

Answer(s): 135