In a box, there are sweets of 3 colours, green, gold and brown. There are 54 less brown sweets than gold sweets. The number of brown sweets is ²₃ more than the green sweets. Given that the number of brown sweets is 35% of the total number of sweets in the box, how many less green sweets are there than gold sweets?

Green sweets	Gold sweets	Brown sweets
	1 u + 54	1 u
3x7		5x7
65%		35%
21%	44%	35%

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 7 = 35%

Total number of green sweets and gold sweets in percent
= 100% - 35%
= 65%

Number of gold sweets in percent
= 65% - 21%
= 44%

Number of more gold sweets than brown sweets in percent
= 44% - 21%
= 9%

9% = 54

1% = 54 ÷ 9 = 6

Number of less green sweets than gold sweets
= 44% - 21%
= 23%
= 23 x 6
= 138

Answer(s): 138