In a box, there are sweets of 3 colours, red, black and white. There are 336 more black sweets than white sweets. The number of white sweets is ¹₃ more than the red sweets. Given that the number of white sweets is 16% of the total number of sweets in the box, how many more black sweets are there than red sweets?

Red sweets	Black sweets	White sweets
	1 u + 336	1 u
3x4		4x4
84%		16%
12%	72%	16%

1 + ¹₃ = ³₃ + ¹₃ = ⁴₃

Yellow sweets : Purple sweets = 3 : 4

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

4 x 4 = 16%

Total number of red sweets and black sweets in percent
= 100% - 16%
= 84%

Number of black sweets in percent
= 84% - 12%
= 72%

Number of more black sweets than white sweets in percent
= 72% - 12%
= 56%

56% = 336

1% = 336 ÷ 56 = 6

Number of more black sweets than red sweets
= 72% - 12%
= 60%
= 60 x 6
= 360

Answer(s): 360