In a box, there are sweets of 3 colours, green, grey and purple. There are 348 more grey sweets than purple sweets. The number of purple sweets is ¹₄ more than the green sweets. Given that the number of purple sweets is 15% of the total number of sweets in the box, how many more grey sweets are there than green sweets?

Green sweets	Grey sweets	Purple sweets
	1 u + 348	1 u
4x3		5x3
85%		15%
12%	73%	15%

1 + ¹₄ = ⁴₄ + ¹₄ = ⁵₄

Yellow sweets : Purple sweets = 4 : 5

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

5 x 3 = 15%

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

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

Number of more grey sweets than purple sweets in percent
= 73% - 12%
= 58%

58% = 348

1% = 348 ÷ 58 = 6

Number of more grey sweets than green sweets
= 73% - 12%
= 61%
= 61 x 6
= 366

Answer(s): 366