In a container, there are sweets of 3 colours, white, purple and yellow. There are 760 more purple sweets than yellow sweets. The number of yellow sweets is ¹₂ more than the white sweets. Given that the number of yellow sweets is 9% of the total number of sweets in the container, how many more purple sweets are there than white sweets?

White sweets	Purple sweets	Yellow sweets
	1 u + 760	1 u
2x3		3x3
91%		9%
6%	85%	9%

1 + ¹₂ = ²₂ + ¹₂ = ³₂

Yellow sweets : Purple sweets = 2 : 3

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

3 x 3 = 9%

Total number of white sweets and purple sweets in percent
= 100% - 9%
= 91%

Number of purple sweets in percent
= 91% - 6%
= 85%

Number of more purple sweets than yellow sweets in percent
= 85% - 6%
= 76%

76% = 760

1% = 760 ÷ 76 = 10

Number of more purple sweets than white sweets
= 85% - 6%
= 79%
= 79 x 10
= 790

Answer(s): 790