In a box, there are sweets of 3 colours, black, grey and gold. There are 360 more grey sweets than gold sweets. The number of gold sweets is ¹₂ more than the black sweets. Given that the number of gold sweets is 15% of the total number of sweets in the box, how many more grey sweets are there than black sweets?

Black sweets	Grey sweets	Gold sweets
	1 u + 360	1 u
2x5		3x5
85%		15%
10%	75%	15%

1 + ¹₂ = ²₂ + ¹₂ = ³₂

Yellow sweets : Purple sweets = 2 : 3

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

3 x 5 = 15%

Total number of black sweets and grey sweets in percent
= 100% - 15%
= 85%

Number of grey sweets in percent
= 85% - 10%
= 75%

Number of more grey sweets than gold sweets in percent
= 75% - 10%
= 60%

60% = 360

1% = 360 ÷ 60 = 6

Number of more grey sweets than black sweets
= 75% - 10%
= 65%
= 65 x 6
= 390

Answer(s): 390