In a box, there are sweets of 3 colours, purple, white and black. There are 336 more white sweets than black sweets. The number of black sweets is ²₃ more than the purple sweets. Given that the number of black sweets is 20% of the total number of sweets in the box, how many more white sweets are there than purple sweets?

Purple sweets	White sweets	Black sweets
	1 u + 336	1 u
3x4		5x4
80%		20%
12%	68%	20%

1 + ²₃ = ³₃ + ²₃ = ⁵₃

Yellow sweets : Purple sweets = 3 : 5

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

5 x 4 = 20%

Total number of purple sweets and white sweets in percent
= 100% - 20%
= 80%

Number of white sweets in percent
= 80% - 12%
= 68%

Number of more white sweets than black sweets in percent
= 68% - 12%
= 48%

48% = 336

1% = 336 ÷ 48 = 7

Number of more white sweets than purple sweets
= 68% - 12%
= 56%
= 56 x 7
= 392

Answer(s): 392