Workshops 67984

Thirty-two tons of oranges are processed in eight workshops with 40 employees each. How many workers process 9 tons of oranges in 9 workshops?

Correct answer:

x =  90

Step-by-step explanation:

$$\begin{gathered} d_1=8 \\ {n}_1=40 \\ {m}_1=32\text{t} \\ {d}_2=9 \\ {m}_2=9\text{t} \\ {h}_1=h_2 \\ {m}_1/(n_1\cdot d_1)=m_2/(n_2\cdot d_2) \\ {m}_1\cdot (n_2\cdot d_2)=m_2\cdot (n_1\cdot d_1) \\ {n}_2=\frac{m_2\cdot n_1\cdot d_1}{m_1\cdot d_2}=\frac{9\cdot 40\cdot 8}{32\cdot 9}=10 \\ x=n_2\cdot d_2=10\cdot 9=90 \end{gathered}$$

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