In a box, there are jelly beans of 3 colours, gold, green and purple. There are 175 less purple jelly beans than green jelly beans. The number of purple jelly beans is ²₃ more than the gold jelly beans. Given that the number of purple jelly beans is 25% of the total number of jelly beans in the box, how many less gold jelly beans are there than green jelly beans?

Gold jelly beans	Green jelly beans	Purple jelly beans
	1 u + 175	1 u
3x5		5x5
75%		25%
15%	60%	25%

1 + ²₃ = ³₃ + ²₃ = ⁵₃

Yellow jelly beans : Purple jelly beans = 3 : 5

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

5 x 5 = 25%

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

Number of green jelly beans in percent
= 75% - 15%
= 60%

Number of more green jelly beans than purple jelly beans in percent
= 60% - 15%
= 35%

35% = 175

1% = 175 ÷ 35 = 5

Number of less gold jelly beans than green jelly beans
= 60% - 15%
= 45%
= 45 x 5
= 225

Answer(s): 225