# Bronze, tin and copper

Bronze is an alloy of tin and copper. An alloy of 10% tin and 90% copper is Gunmetal. If it contains 20% tin and 80% copper, it is bell metal. How many tons of molten bell metal and how many tons of copper is needed to make 100 tons of Gunmetal?

Result

z =  50 t
c =  50 t

#### Solution:

$m=100 \ \\ a=m \cdot \ 10/100=100 \cdot \ 10/100=10 \ \text{t} \ \\ b=m \cdot \ 90/100=100 \cdot \ 90/100=90 \ \text{t} \ \\ z \cdot \ 20/100=a \ \\ z=a / 0.20=10 / 0.20=50 \ \text{t}$
$c=m-z=100-50=50 \ \text{t}$

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