Contaminated 2527

The cooperative handed over a total of 4,650 tonnes of contaminated sugar beet. At the time of purchase, they deducted 4.7% of the total weight for impurities. Pure sugar beet contained 19.3% sugar, which recovered 90%. How much sugar was made from the transferred sugar beet?

Correct answer:

x =  769.7 t

Step-by-step explanation:

$$\begin{gathered} a=4650\text{t} \\ {r}_1=100\%-4.7\%=1-\frac{4.7}{100}=0.953 \\ {r}_2=19.3\%=\frac{19.3}{100}=0.193 \\ {r}_3=90\%=\frac{90}{100}=\frac{9}{10}=0.9 \\ r=r_1\cdot r_2\cdot r_3=0.953\cdot 0.193\cdot 0.9\doteq 0.1655 \\ x=a\cdot r=4650\cdot 0.1655=769.7\text{t} \end{gathered}$$

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