In a box, there are jelly beans of 3 colours, pink, purple and brown. There are 490 less brown jelly beans than purple jelly beans. The number of brown jelly beans is ¹₅ more than the pink jelly beans. Given that the number of brown jelly beans is 18% of the total number of jelly beans in the box, how many less pink jelly beans are there than purple jelly beans?

Pink jelly beans	Purple jelly beans	Brown jelly beans
	1 u + 490	1 u
5x3		6x3
82%		18%
15%	67%	18%

1 + ¹₅ = ⁵₅ + ¹₅ = ⁶₅

Yellow jelly beans : Purple jelly beans = 5 : 6

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

6 x 3 = 18%

Total number of pink jelly beans and purple jelly beans in percent
= 100% - 18%
= 82%

Number of purple jelly beans in percent
= 82% - 15%
= 67%

Number of more purple jelly beans than brown jelly beans in percent
= 67% - 15%
= 49%

49% = 490

1% = 490 ÷ 49 = 10

Number of less pink jelly beans than purple jelly beans
= 67% - 15%
= 52%
= 52 x 10
= 520

Answer(s): 520