Statuette 83001

The bronze figurine weighs 0.5 kg. Bronze is an alloy of tin and copper in a ratio of 1:4. How many grams of copper and how many grams of tin does the statuette contain?

Correct answer:

a =  100 g
b =  400 g

Step-by-step explanation:

$$\begin{gathered} m=0.5\text{kg}\to \text{g}=0.5\cdot 1000\text{g}=500\text{g} \\ a:b=1:4=1d:4d \\ m=a+b=1d+4d \\ d=m/(1+4)=500/(1+4)=100\text{g} \\ a=1\cdot d=1\cdot 100=100\text{g} \end{gathered}$$

$b=4\cdot d=4\cdot 100=400\text{g}$

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