In a container, there are sweets of 3 colours, brown, green and yellow. There are 174 less yellow sweets than green sweets. The number of yellow sweets is ¹₄ more than the brown sweets. Given that the number of yellow sweets is 15% of the total number of sweets in the container, how many less brown sweets are there than green sweets?

Brown sweets	Green sweets	Yellow sweets
	1 u + 174	1 u
4x3		5x3
85%		15%
12%	73%	15%

1 + ¹₄ = ⁴₄ + ¹₄ = ⁵₄

Yellow sweets : Purple sweets = 4 : 5

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

5 x 3 = 15%

Total number of brown sweets and green sweets in percent
= 100% - 15%
= 85%

Number of green sweets in percent
= 85% - 12%
= 73%

Number of more green sweets than yellow sweets in percent
= 73% - 12%
= 58%

58% = 174

1% = 174 ÷ 58 = 3

Number of less brown sweets than green sweets
= 73% - 12%
= 61%
= 61 x 3
= 183

Answer(s): 183