In a box, there are sweets of 3 colours, green, purple and silver. There are 396 more purple sweets than silver sweets. The number of silver sweets is ¹₄ more than the green sweets. Given that the number of silver sweets is 20% of the total number of sweets in the box, how many more purple sweets are there than green sweets?

Green sweets	Purple sweets	Silver sweets
	1 u + 396	1 u
4x4		5x4
80%		20%
16%	64%	20%

1 + ¹₄ = ⁴₄ + ¹₄ = ⁵₄

Yellow sweets : Purple sweets = 4 : 5

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

5 x 4 = 20%

Total number of green sweets and purple sweets in percent
= 100% - 20%
= 80%

Number of purple sweets in percent
= 80% - 16%
= 64%

Number of more purple sweets than silver sweets in percent
= 64% - 16%
= 44%

44% = 396

1% = 396 ÷ 44 = 9

Number of more purple sweets than green sweets
= 64% - 16%
= 48%
= 48 x 9
= 432

Answer(s): 432