In a container, there are sweets of 3 colours, brown, green and purple. There are 225 less purple sweets than green sweets. The number of purple sweets is ¹₃ more than the brown sweets. Given that the number of purple sweets is 20% of the total number of sweets in the container, how many less brown sweets are there than green sweets?

Brown sweets	Green sweets	Purple sweets
	1 u + 225	1 u
3x5		4x5
80%		20%
15%	65%	20%

1 + ¹₃ = ³₃ + ¹₃ = ⁴₃

Yellow sweets : Purple sweets = 3 : 4

The number of purple sweets is repeated.  Make the number of purple sweets the same.

4 x 5 = 20%

Total number of brown sweets and green sweets in percent
= 100% - 20%
= 80%

Number of green sweets in percent
= 80% - 15%
= 65%

Number of more green sweets than purple sweets in percent
= 65% - 15%
= 45%

45% = 225

1% = 225 ÷ 45 = 5

Number of less brown sweets than green sweets
= 65% - 15%
= 50%
= 50 x 5
= 250

Answer(s): 250