In a box, there are jelly beans of 3 colours, grey, white and brown. There are 238 less brown jelly beans than white jelly beans. The number of brown jelly beans is ¹₃ more than the grey jelly beans. Given that the number of brown jelly beans is 24% of the total number of jelly beans in the box, how many less grey jelly beans are there than white jelly beans?

Grey jelly beans	White jelly beans	Brown jelly beans
	1 u + 238	1 u
3x6		4x6
76%		24%
18%	58%	24%

1 + ¹₃ = ³₃ + ¹₃ = ⁴₃

Yellow jelly beans : Purple jelly beans = 3 : 4

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

4 x 6 = 24%

Total number of grey jelly beans and white jelly beans in percent
= 100% - 24%
= 76%

Number of white jelly beans in percent
= 76% - 18%
= 58%

Number of more white jelly beans than brown jelly beans in percent
= 58% - 18%
= 34%

34% = 238

1% = 238 ÷ 34 = 7

Number of less grey jelly beans than white jelly beans
= 58% - 18%
= 40%
= 40 x 7
= 280

Answer(s): 280