In a container, there are sweets of 3 colours, gold, pink and yellow. There are 402 less yellow sweets than pink sweets. The number of yellow sweets is ¹₃ more than the gold sweets. Given that the number of yellow sweets is 12% of the total number of sweets in the container, how many less gold sweets are there than pink sweets?

Gold sweets	Pink sweets	Yellow sweets
	1 u + 402	1 u
3x3		4x3
88%		12%
9%	79%	12%

1 + ¹₃ = ³₃ + ¹₃ = ⁴₃

Yellow sweets : Purple sweets = 3 : 4

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

4 x 3 = 12%

Total number of gold sweets and pink sweets in percent
= 100% - 12%
= 88%

Number of pink sweets in percent
= 88% - 9%
= 79%

Number of more pink sweets than yellow sweets in percent
= 79% - 9%
= 67%

67% = 402

1% = 402 ÷ 67 = 6

Number of less gold sweets than pink sweets
= 79% - 9%
= 70%
= 70 x 6
= 420

Answer(s): 420