Three machines

The power of the three machines is 2: 3: 5. Two most powerful machines produce 400 parts per hour. How many components make all three machines in 3 hours?

Correct result:

n =  1500

Solution:

$$\begin{gathered} p_1={\displaystyle \frac{2}{2+3+5}}={\displaystyle \frac{1}{5}}=0.2 \\ {p}_2={\displaystyle \frac{3+5}{2+3+5}}={\displaystyle \frac{4}{5}}=0.8 \\ h=400\mathrm{/}{p}_2=400\mathrm{/}0.8=500 \\ n=3\cdot h=3\cdot 500=1500 \end{gathered}$$

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