In a container, there are jelly beans of 3 colours, green, purple and blue. There are 224 less blue jelly beans than purple jelly beans. The number of blue jelly beans is ¹₃ more than the green jelly beans. Given that the number of blue jelly beans is 16% of the total number of jelly beans in the container, how many less green jelly beans are there than purple jelly beans?

Green jelly beans	Purple jelly beans	Blue jelly beans
	1 u + 224	1 u
3x4		4x4
84%		16%
12%	72%	16%

1 + ¹₃ = ³₃ + ¹₃ = ⁴₃

Yellow jelly beans : Purple jelly beans = 3 : 4

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

4 x 4 = 16%

Total number of green jelly beans and purple jelly beans in percent
= 100% - 16%
= 84%

Number of purple jelly beans in percent
= 84% - 12%
= 72%

Number of more purple jelly beans than blue jelly beans in percent
= 72% - 12%
= 56%

56% = 224

1% = 224 ÷ 56 = 4

Number of less green jelly beans than purple jelly beans
= 72% - 12%
= 60%
= 60 x 4
= 240

Answer(s): 240