In a container, there are sweets of 3 colours, gold, blue and grey. There are 294 less grey sweets than blue sweets. The number of grey sweets is ¹₅ more than the gold sweets. Given that the number of grey sweets is 18% of the total number of sweets in the container, how many less gold sweets are there than blue sweets?

Gold sweets	Blue sweets	Grey sweets
	1 u + 294	1 u
5x3		6x3
82%		18%
15%	67%	18%

1 + ¹₅ = ⁵₅ + ¹₅ = ⁶₅

Yellow sweets : Purple sweets = 5 : 6

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

6 x 3 = 18%

Total number of gold sweets and blue sweets in percent
= 100% - 18%
= 82%

Number of blue sweets in percent
= 82% - 15%
= 67%

Number of more blue sweets than grey sweets in percent
= 67% - 15%
= 49%

49% = 294

1% = 294 ÷ 49 = 6

Number of less gold sweets than blue sweets
= 67% - 15%
= 52%
= 52 x 6
= 312

Answer(s): 312