Coffee roasting proportion

We obtained 4200 g of roasted coffee from 5 kg of green coffee. How many g of green coffee do we need to roast to get 10 kg of roasted coffee?

Final Answer:

x =  11904.7619 g

Step-by-step explanation:

$$\begin{gathered} m_1=5\text{kg}\to \text{g}=5\cdot 1000\text{g}=5000\text{g} \\ {m}_2=4200\text{g} \\ {m}_3=10\text{kg}\to \text{g}=10\cdot 1000\text{g}=10000\text{g} \\ {m}_2:m_1=m_3:x \\ x=m_3\cdot \frac{m_1}{m_2}=10000\cdot \frac{5000}{4200}=\frac{10000\cdot 5000}{4200}=\frac{50000000}{4200}=11904.7619\text{g} \end{gathered}$$

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