Answer :
It is given that pieces of 3 1/4 inch are needed to be cut from 20 metal rods of 19 inch each. And disregard waste.
So the proper fraction for 3 1/4 is:
[tex]\frac{3\times4+1}{4}=\frac{13}{4}[/tex]The number of pieces possible from 1 rod are:
[tex]N_1=\frac{19}{\frac{13}{4}}=\frac{19\times4}{13}\approx5.84615[/tex]So discarding the waste, 5 pieces can be cut from one 19 inch rod.
Hence from 20 rods, the number of pieces possible are:
[tex]\begin{gathered} N_{20}=20N_1 \\ =20\times5 \\ =100 \end{gathered}[/tex]Hence 100 pieces are possible.