In a container, there are jelly beans of 3 colours, pink, brown and yellow. There are 220 less yellow jelly beans than brown jelly beans. The number of yellow jelly beans is ¹₄ more than the pink jelly beans. Given that the number of yellow jelly beans is 20% of the total number of jelly beans in the container, how many less pink jelly beans are there than brown jelly beans?

Pink jelly beans	Brown jelly beans	Yellow jelly beans
	1 u + 220	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 pink jelly beans and brown jelly beans in percent
= 100% - 20%
= 80%

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

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

44% = 220

1% = 220 ÷ 44 = 5

Number of less pink jelly beans than brown jelly beans
= 64% - 16%
= 48%
= 48 x 5
= 240

Answer(s): 240