In a box, there are sweets of 3 colours, purple, white and gold. There are 670 more white sweets than gold sweets. The number of gold sweets is ¹₃ more than the purple sweets. Given that the number of gold sweets is 12% of the total number of sweets in the box, how many more white sweets are there than purple sweets?

Purple sweets	White sweets	Gold sweets
	1 u + 670	1 u
3x3		4x3
88%		12%
9%	79%	12%

1 + ¹₃ = ³₃ + ¹₃ = ⁴₃

Yellow sweets : Purple sweets = 3 : 4

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

4 x 3 = 12%

Total number of purple sweets and white sweets in percent
= 100% - 12%
= 88%

Number of white sweets in percent
= 88% - 9%
= 79%

Number of more white sweets than gold sweets in percent
= 79% - 9%
= 67%

67% = 670

1% = 670 ÷ 67 = 10

Number of more white sweets than purple sweets
= 79% - 9%
= 70%
= 70 x 10
= 700

Answer(s): 700