In a container, there are jelly beans of 3 colours, brown, yellow and purple. There are 90 more yellow jelly beans than purple jelly beans. The number of purple jelly beans is ¹₄ more than the brown jelly beans. Given that the number of purple jelly beans is 25% of the total number of jelly beans in the container, how many more yellow jelly beans are there than brown jelly beans?

Brown jelly beans	Yellow jelly beans	Purple jelly beans
	1 u + 90	1 u
4x5		5x5
75%		25%
20%	55%	25%

1 + ¹₄ = ⁴₄ + ¹₄ = ⁵₄

Yellow jelly beans : Purple jelly beans = 4 : 5

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

5 x 5 = 25%

Total number of brown jelly beans and yellow jelly beans in percent
= 100% - 25%
= 75%

Number of yellow jelly beans in percent
= 75% - 20%
= 55%

Number of more yellow jelly beans than purple jelly beans in percent
= 55% - 20%
= 30%

30% = 90

1% = 90 ÷ 30 = 3

Number of more yellow jelly beans than brown jelly beans
= 55% - 20%
= 35%
= 35 x 3
= 105

Answer(s): 105