In a box, there are chocolate bars of 3 colours, blue, grey and green. There are 116 more grey chocolate bars than green chocolate bars. The number of green chocolate bars is ¹₄ more than the blue chocolate bars. Given that the number of green chocolate bars is 15% of the total number of chocolate bars in the box, how many more grey chocolate bars are there than blue chocolate bars?

Blue chocolate bars	Grey chocolate bars	Green chocolate bars
	1 u + 116	1 u
4x3		5x3
85%		15%
12%	73%	15%

1 + ¹₄ = ⁴₄ + ¹₄ = ⁵₄

Yellow chocolate bars : Purple chocolate bars = 4 : 5

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

5 x 3 = 15%

Total number of blue chocolate bars and grey chocolate bars in percent
= 100% - 15%
= 85%

Number of grey chocolate bars in percent
= 85% - 12%
= 73%

Number of more grey chocolate bars than green chocolate bars in percent
= 73% - 12%
= 58%

58% = 116

1% = 116 ÷ 58 = 2

Number of more grey chocolate bars than blue chocolate bars
= 73% - 12%
= 61%
= 61 x 2
= 122

Answer(s): 122