In a container, there are jelly beans of 3 colours, gold, purple and grey. There are 180 more purple jelly beans than grey jelly beans. The number of grey jelly beans is ¹₂ more than the gold jelly beans. Given that the number of grey jelly beans is 15% of the total number of jelly beans in the container, how many more purple jelly beans are there than gold jelly beans?

Gold jelly beans	Purple jelly beans	Grey jelly beans
	1 u + 180	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 grey jelly beans is repeated.  Make the number of grey jelly beans the same.

3 x 5 = 15%

Total number of gold jelly beans and purple jelly beans in percent
= 100% - 15%
= 85%

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

Number of more purple jelly beans than grey jelly beans in percent
= 75% - 10%
= 60%

60% = 180

1% = 180 ÷ 60 = 3

Number of more purple jelly beans than gold jelly beans
= 75% - 10%
= 65%
= 65 x 3
= 195

Answer(s): 195