In a container, there are sweets of 3 colours, green, red and purple. There are 280 more red sweets than purple sweets. The number of purple sweets is ²₃ more than the green sweets. Given that the number of purple sweets is 25% of the total number of sweets in the container, how many more red sweets are there than green sweets?

Green sweets	Red sweets	Purple sweets
	1 u + 280	1 u
3x5		5x5
75%		25%
15%	60%	25%

1 + ²₃ = ³₃ + ²₃ = ⁵₃

Yellow sweets : Purple sweets = 3 : 5

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

5 x 5 = 25%

Total number of green sweets and red sweets in percent
= 100% - 25%
= 75%

Number of red sweets in percent
= 75% - 15%
= 60%

Number of more red sweets than purple sweets in percent
= 60% - 15%
= 35%

35% = 280

1% = 280 ÷ 35 = 8

Number of more red sweets than green sweets
= 60% - 15%
= 45%
= 45 x 8
= 360

Answer(s): 360