In a container, there are jelly beans of 3 colours, gold, red and green. There are 180 less green jelly beans than red jelly beans. The number of green jelly beans is ¹₄ more than the gold jelly beans. Given that the number of green jelly beans is 25% of the total number of jelly beans in the container, how many less gold jelly beans are there than red jelly beans?

Gold jelly beans	Red jelly beans	Green jelly beans
	1 u + 180	1 u
4x5		5x5
75%		25%
20%	55%	25%

1 + ¹₄ = ⁴₄ + ¹₄ = ⁵₄

Yellow jelly beans : Purple jelly beans = 4 : 5

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

5 x 5 = 25%

Total number of gold jelly beans and red jelly beans in percent
= 100% - 25%
= 75%

Number of red jelly beans in percent
= 75% - 20%
= 55%

Number of more red jelly beans than green jelly beans in percent
= 55% - 20%
= 30%

30% = 180

1% = 180 ÷ 30 = 6

Number of less gold jelly beans than red jelly beans
= 55% - 20%
= 35%
= 35 x 6
= 210

Answer(s): 210