In a box, there are chocolate bars of 3 colours, green, blue and black. There are 63 less black chocolate bars than blue chocolate bars. The number of black chocolate bars is ²₃ more than the green chocolate bars. Given that the number of black chocolate bars is 35% of the total number of chocolate bars in the box, how many less green chocolate bars are there than blue chocolate bars?

Green chocolate bars	Blue chocolate bars	Black chocolate bars
	1 u + 63	1 u
3x7		5x7
65%		35%
21%	44%	35%

1 + ²₃ = ³₃ + ²₃ = ⁵₃

Yellow chocolate bars : Purple chocolate bars = 3 : 5

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

5 x 7 = 35%

Total number of green chocolate bars and blue chocolate bars in percent
= 100% - 35%
= 65%

Number of blue chocolate bars in percent
= 65% - 21%
= 44%

Number of more blue chocolate bars than black chocolate bars in percent
= 44% - 21%
= 9%

9% = 63

1% = 63 ÷ 9 = 7

Number of less green chocolate bars than blue chocolate bars
= 44% - 21%
= 23%
= 23 x 7
= 161

Answer(s): 161