In a box, there are jelly beans of 3 colours, grey, green and white. There are 64 less white jelly beans than green jelly beans. The number of white jelly beans is ¹₅ more than the grey jelly beans. Given that the number of white jelly beans is 24% of the total number of jelly beans in the box, how many less grey jelly beans are there than green jelly beans?

Grey jelly beans	Green jelly beans	White jelly beans
	1 u + 64	1 u
5x4		6x4
76%		24%
20%	56%	24%

1 + ¹₅ = ⁵₅ + ¹₅ = ⁶₅

Yellow jelly beans : Purple jelly beans = 5 : 6

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

6 x 4 = 24%

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

Number of green jelly beans in percent
= 76% - 20%
= 56%

Number of more green jelly beans than white jelly beans in percent
= 56% - 20%
= 32%

32% = 64

1% = 64 ÷ 32 = 2

Number of less grey jelly beans than green jelly beans
= 56% - 20%
= 36%
= 36 x 2
= 72

Answer(s): 72