In a container, there are jelly beans of 3 colours, red, gold and pink. There are 81 less pink jelly beans than gold jelly beans. The number of pink jelly beans is ²₃ more than the red jelly beans. Given that the number of pink jelly beans is 35% of the total number of jelly beans in the container, how many less red jelly beans are there than gold jelly beans?

Red jelly beans	Gold jelly beans	Pink jelly beans
	1 u + 81	1 u
3x7		5x7
65%		35%
21%	44%	35%

1 + ²₃ = ³₃ + ²₃ = ⁵₃

Yellow jelly beans : Purple jelly beans = 3 : 5

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

5 x 7 = 35%

Total number of red jelly beans and gold jelly beans in percent
= 100% - 35%
= 65%

Number of gold jelly beans in percent
= 65% - 21%
= 44%

Number of more gold jelly beans than pink jelly beans in percent
= 44% - 21%
= 9%

9% = 81

1% = 81 ÷ 9 = 9

Number of less red jelly beans than gold jelly beans
= 44% - 21%
= 23%
= 23 x 9
= 207

Answer(s): 207