In a box, there are sweets of 3 colours, green, black and grey. There are 335 less grey sweets than black sweets. The number of grey sweets is ¹₃ more than the green sweets. Given that the number of grey sweets is 12% of the total number of sweets in the box, how many less green sweets are there than black sweets?

Green sweets	Black sweets	Grey sweets
	1 u + 335	1 u
3x3		4x3
88%		12%
9%	79%	12%

1 + ¹₃ = ³₃ + ¹₃ = ⁴₃

Yellow sweets : Purple sweets = 3 : 4

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

4 x 3 = 12%

Total number of green sweets and black sweets in percent
= 100% - 12%
= 88%

Number of black sweets in percent
= 88% - 9%
= 79%

Number of more black sweets than grey sweets in percent
= 79% - 9%
= 67%

67% = 335

1% = 335 ÷ 67 = 5

Number of less green sweets than black sweets
= 79% - 9%
= 70%
= 70 x 5
= 350

Answer(s): 350