In a box, there are jelly beans of 3 colours, yellow, red and pink. There are 540 more red jelly beans than pink jelly beans. The number of pink jelly beans is ¹₂ more than the yellow jelly beans. Given that the number of pink jelly beans is 15% of the total number of jelly beans in the box, how many more red jelly beans are there than yellow jelly beans?

Yellow jelly beans	Red jelly beans	Pink jelly beans
	1 u + 540	1 u
2x5		3x5
85%		15%
10%	75%	15%

1 + ¹₂ = ²₂ + ¹₂ = ³₂

Yellow jelly beans : Purple jelly beans = 2 : 3

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

3 x 5 = 15%

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

Number of red jelly beans in percent
= 85% - 10%
= 75%

Number of more red jelly beans than pink jelly beans in percent
= 75% - 10%
= 60%

60% = 540

1% = 540 ÷ 60 = 9

Number of more red jelly beans than yellow jelly beans
= 75% - 10%
= 65%
= 65 x 9
= 585

Answer(s): 585