In a container, there are sweets of 3 colours, red, black and gold. There are 14 more black sweets than gold sweets. The number of gold sweets is ¹₄ more than the red sweets. Given that the number of gold sweets is 35% of the total number of sweets in the container, how many more black sweets are there than red sweets?

Red sweets	Black sweets	Gold sweets
	1 u + 14	1 u
4x7		5x7
65%		35%
28%	37%	35%

1 + ¹₄ = ⁴₄ + ¹₄ = ⁵₄

Yellow sweets : Purple sweets = 4 : 5

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

5 x 7 = 35%

Total number of red sweets and black sweets in percent
= 100% - 35%
= 65%

Number of black sweets in percent
= 65% - 28%
= 37%

Number of more black sweets than gold sweets in percent
= 37% - 28%
= 2%

2% = 14

1% = 14 ÷ 2 = 7

Number of more black sweets than red sweets
= 37% - 28%
= 9%
= 9 x 7
= 63

Answer(s): 63