In a container, there are sweets of 3 colours, silver, red and yellow. There are 260 less yellow sweets than red sweets. The number of yellow sweets is ¹₂ more than the silver sweets. Given that the number of yellow sweets is 18% of the total number of sweets in the container, how many less silver sweets are there than red sweets?

Silver sweets	Red sweets	Yellow sweets
	1 u + 260	1 u
2x6		3x6
82%		18%
12%	70%	18%

1 + ¹₂ = ²₂ + ¹₂ = ³₂

Yellow sweets : Purple sweets = 2 : 3

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

3 x 6 = 18%

Total number of silver sweets and red sweets in percent
= 100% - 18%
= 82%

Number of red sweets in percent
= 82% - 12%
= 70%

Number of more red sweets than yellow sweets in percent
= 70% - 12%
= 52%

52% = 260

1% = 260 ÷ 52 = 5

Number of less silver sweets than red sweets
= 70% - 12%
= 58%
= 58 x 5
= 290

Answer(s): 290