In a box, there are jelly beans of 3 colours, gold, red and green. There are 207 less green jelly beans than red jelly beans. The number of green jelly beans is ¹₃ more than the gold jelly beans. Given that the number of green jelly beans is 28% of the total number of jelly beans in the box, how many less gold jelly beans are there than red jelly beans?

Gold jelly beans	Red jelly beans	Green jelly beans
	1 u + 207	1 u
3x7		4x7
72%		28%
21%	51%	28%

1 + ¹₃ = ³₃ + ¹₃ = ⁴₃

Yellow jelly beans : Purple jelly beans = 3 : 4

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

4 x 7 = 28%

Total number of gold jelly beans and red jelly beans in percent
= 100% - 28%
= 72%

Number of red jelly beans in percent
= 72% - 21%
= 51%

Number of more red jelly beans than green jelly beans in percent
= 51% - 21%
= 23%

23% = 207

1% = 207 ÷ 23 = 9

Number of less gold jelly beans than red jelly beans
= 51% - 21%
= 30%
= 30 x 9
= 270

Answer(s): 270