Diamond 4695

The handle is made of alloy. The alloy is in a ratio of 6 parts gold, three parts lead, and eight parts diamond. The handle weighs 24 kg.
How much weight are gold and lead?

Correct answer:

a =  8.4706 kg
b =  4.2353 kg
c =  11.2941 kg

Step-by-step explanation:

$$\begin{gathered} d=24/(6+3+8)=\frac{24}{17}\doteq 1.4118 \\ a=6d=6\cdot 1.4118=\frac{144}{17}\text{kg}=8.4706\text{kg} \end{gathered}$$

$b=3d=3\cdot 1.4118=\frac{72}{17}\text{kg}=4.2353\text{kg}$

$c=8d=8\cdot 1.4118=\frac{192}{17}\text{kg}=11.2941\text{kg}$

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