In a container, there are chocolate bars of 3 colours, blue, red and silver. There are 180 more red chocolate bars than silver chocolate bars. The number of silver chocolate bars is ¹₃ more than the blue chocolate bars. Given that the number of silver chocolate bars is 20% of the total number of chocolate bars in the container, how many more red chocolate bars are there than blue chocolate bars?

Blue chocolate bars	Red chocolate bars	Silver chocolate bars
	1 u + 180	1 u
3x5		4x5
80%		20%
15%	65%	20%

1 + ¹₃ = ³₃ + ¹₃ = ⁴₃

Yellow chocolate bars : Purple chocolate bars = 3 : 4

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

4 x 5 = 20%

Total number of blue chocolate bars and red chocolate bars in percent
= 100% - 20%
= 80%

Number of red chocolate bars in percent
= 80% - 15%
= 65%

Number of more red chocolate bars than silver chocolate bars in percent
= 65% - 15%
= 45%

45% = 180

1% = 180 ÷ 45 = 4

Number of more red chocolate bars than blue chocolate bars
= 65% - 15%
= 50%
= 50 x 4
= 200

Answer(s): 200