In a box, there are sweets of 3 colours, white, purple and gold. There are 68 more purple sweets than gold sweets. The number of gold sweets is ¹₃ more than the white sweets. Given that the number of gold sweets is 24% of the total number of sweets in the box, how many more purple sweets are there than white sweets?

White sweets	Purple sweets	Gold sweets
	1 u + 68	1 u
3x6		4x6
76%		24%
18%	58%	24%

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 6 = 24%

Total number of white sweets and purple sweets in percent
= 100% - 24%
= 76%

Number of purple sweets in percent
= 76% - 18%
= 58%

Number of more purple sweets than gold sweets in percent
= 58% - 18%
= 34%

34% = 68

1% = 68 ÷ 34 = 2

Number of more purple sweets than white sweets
= 58% - 18%
= 40%
= 40 x 2
= 80

Answer(s): 80