In a container, there are sweets of 3 colours, pink, red and black. There are 504 more red sweets than black sweets. The number of black sweets is ¹₃ more than the pink sweets. Given that the number of black sweets is 16% of the total number of sweets in the container, how many more red sweets are there than pink sweets?

Pink sweets	Red sweets	Black sweets
	1 u + 504	1 u
3x4		4x4
84%		16%
12%	72%	16%

1 + ¹₃ = ³₃ + ¹₃ = ⁴₃

Yellow sweets : Purple sweets = 3 : 4

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

4 x 4 = 16%

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

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

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

56% = 504

1% = 504 ÷ 56 = 9

Number of more red sweets than pink sweets
= 72% - 12%
= 60%
= 60 x 9
= 540

Answer(s): 540