In a box, there are jelly beans of 3 colours, yellow, gold and green. There are 44 less green jelly beans than gold jelly beans. The number of green jelly beans is ²₃ more than the yellow jelly beans. Given that the number of green jelly beans is 30% of the total number of jelly beans in the box, how many less yellow jelly beans are there than gold jelly beans?

Yellow jelly beans	Gold jelly beans	Green jelly beans
	1 u + 44	1 u
3x6		5x6
70%		30%
18%	52%	30%

1 + ²₃ = ³₃ + ²₃ = ⁵₃

Yellow jelly beans : Purple jelly beans = 3 : 5

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

5 x 6 = 30%

Total number of yellow jelly beans and gold jelly beans in percent
= 100% - 30%
= 70%

Number of gold jelly beans in percent
= 70% - 18%
= 52%

Number of more gold jelly beans than green jelly beans in percent
= 52% - 18%
= 22%

22% = 44

1% = 44 ÷ 22 = 2

Number of less yellow jelly beans than gold jelly beans
= 52% - 18%
= 34%
= 34 x 2
= 68

Answer(s): 68