In a box, there are sweets of 3 colours, purple, pink and brown. There are 207 less brown sweets than pink sweets. The number of brown sweets is ¹₃ more than the purple sweets. Given that the number of brown sweets is 28% of the total number of sweets in the box, how many less purple sweets are there than pink sweets?

Purple sweets	Pink sweets	Brown sweets
	1 u + 207	1 u
3x7		4x7
72%		28%
21%	51%	28%

1 + ¹₃ = ³₃ + ¹₃ = ⁴₃

Yellow sweets : Purple sweets = 3 : 4

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

4 x 7 = 28%

Total number of purple sweets and pink sweets in percent
= 100% - 28%
= 72%

Number of pink sweets in percent
= 72% - 21%
= 51%

Number of more pink sweets than brown sweets in percent
= 51% - 21%
= 23%

23% = 207

1% = 207 ÷ 23 = 9

Number of less purple sweets than pink sweets
= 51% - 21%
= 30%
= 30 x 9
= 270

Answer(s): 270