In a box, there are chocolate bars of 3 colours, pink, yellow and green. There are 416 more yellow chocolate bars than green chocolate bars. The number of green chocolate bars is ¹₂ more than the pink chocolate bars. Given that the number of green chocolate bars is 18% of the total number of chocolate bars in the box, how many more yellow chocolate bars are there than pink chocolate bars?

Pink chocolate bars	Yellow chocolate bars	Green chocolate bars
	1 u + 416	1 u
2x6		3x6
82%		18%
12%	70%	18%

1 + ¹₂ = ²₂ + ¹₂ = ³₂

Yellow chocolate bars : Purple chocolate bars = 2 : 3

The number of green chocolate bars is repeated.  Make the number of green chocolate bars the same.

3 x 6 = 18%

Total number of pink chocolate bars and yellow chocolate bars in percent
= 100% - 18%
= 82%

Number of yellow chocolate bars in percent
= 82% - 12%
= 70%

Number of more yellow chocolate bars than green chocolate bars in percent
= 70% - 12%
= 52%

52% = 416

1% = 416 ÷ 52 = 8

Number of more yellow chocolate bars than pink chocolate bars
= 70% - 12%
= 58%
= 58 x 8
= 464

Answer(s): 464