In a container, there are sweets of 3 colours, red, yellow and gold. There are 488 more yellow sweets than gold sweets. The number of gold sweets is ²₃ more than the red sweets. Given that the number of gold sweets is 15% of the total number of sweets in the container, how many more yellow sweets are there than red sweets?

Red sweets	Yellow sweets	Gold sweets
	1 u + 488	1 u
3x3		5x3
85%		15%
9%	76%	15%

1 + ²₃ = ³₃ + ²₃ = ⁵₃

Yellow sweets : Purple sweets = 3 : 5

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

5 x 3 = 15%

Total number of red sweets and yellow sweets in percent
= 100% - 15%
= 85%

Number of yellow sweets in percent
= 85% - 9%
= 76%

Number of more yellow sweets than gold sweets in percent
= 76% - 9%
= 61%

61% = 488

1% = 488 ÷ 61 = 8

Number of more yellow sweets than red sweets
= 76% - 9%
= 67%
= 67 x 8
= 536

Answer(s): 536