In a container, there are sweets of 3 colours, black, gold and brown. There are 210 less brown sweets than gold sweets. The number of brown sweets is ²₃ more than the black sweets. Given that the number of brown sweets is 25% of the total number of sweets in the container, how many less black sweets are there than gold sweets?

Black sweets	Gold sweets	Brown sweets
	1 u + 210	1 u
3x5		5x5
75%		25%
15%	60%	25%

1 + ²₃ = ³₃ + ²₃ = ⁵₃

Yellow sweets : Purple sweets = 3 : 5

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

5 x 5 = 25%

Total number of black sweets and gold sweets in percent
= 100% - 25%
= 75%

Number of gold sweets in percent
= 75% - 15%
= 60%

Number of more gold sweets than brown sweets in percent
= 60% - 15%
= 35%

35% = 210

1% = 210 ÷ 35 = 6

Number of less black sweets than gold sweets
= 60% - 15%
= 45%
= 45 x 6
= 270

Answer(s): 270