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Given data:
The total numbers of pencils are n=120.
The percentage of black pencils is 59%.
The 59% of the total pencils is,
[tex]\begin{gathered} x=\frac{59}{100}\times(n) \\ =0.59\times120 \\ =70.8 \\ \approx71 \end{gathered}[/tex]Thus, the approx numbers of balck pencils are 71.