In a container, there are jelly beans of 3 colours, pink, black and gold. There are 72 less gold jelly beans than black jelly beans. The number of gold jelly beans is ²₃ more than the pink jelly beans. Given that the number of gold jelly beans is 35% of the total number of jelly beans in the container, how many less pink jelly beans are there than black jelly beans?

Pink jelly beans	Black jelly beans	Gold jelly beans
	1 u + 72	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 gold jelly beans is repeated.  Make the number of gold jelly beans the same.

5 x 7 = 35%

Total number of pink jelly beans and black jelly beans in percent
= 100% - 35%
= 65%

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

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

9% = 72

1% = 72 ÷ 9 = 8

Number of less pink jelly beans than black jelly beans
= 44% - 21%
= 23%
= 23 x 8
= 184

Answer(s): 184