In a box, there are jelly beans of 3 colours, pink, red and purple. There are 116 more red jelly beans than purple jelly beans. The number of purple jelly beans is ¹₄ more than the pink jelly beans. Given that the number of purple jelly beans is 15% of the total number of jelly beans in the box, how many more red jelly beans are there than pink jelly beans?

Pink jelly beans	Red jelly beans	Purple jelly beans
	1 u + 116	1 u
4x3		5x3
85%		15%
12%	73%	15%

1 + ¹₄ = ⁴₄ + ¹₄ = ⁵₄

Yellow jelly beans : Purple jelly beans = 4 : 5

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

5 x 3 = 15%

Total number of pink jelly beans and red jelly beans in percent
= 100% - 15%
= 85%

Number of red jelly beans in percent
= 85% - 12%
= 73%

Number of more red jelly beans than purple jelly beans in percent
= 73% - 12%
= 58%

58% = 116

1% = 116 ÷ 58 = 2

Number of more red jelly beans than pink jelly beans
= 73% - 12%
= 61%
= 61 x 2
= 122

Answer(s): 122