The crown molding that was left was:
[tex]36\frac{1}{8}\ in.[/tex]
The length of the crown is: 48 1/2 in.
which could also be given by:
[tex]48\frac{1}{2}=\dfrac{97}{2}\ in.[/tex]
Also, he cuts off one piece measuring 10 1/4 in. and another piece of 2 ft and 1/8 in.
i.e. the pieces were of length:
[tex]10\frac{1}{4}=\dfrac{41}{4}\ in.[/tex]
and [tex]2\frac{1}{8}=\dfrac{17}{8}\ in.[/tex]
No, let the remaining piece be of length ' x'
This means that:
[tex]\dfrac{97}{2}=\dfrac{41}{4}+\dfrac{17}{8}+x\\\\\\i.e.\\\\\\x=\dfrac{97}{2}-\dfrac{41}{4}-\dfrac{17}{8}\\\\\\x=\dfrac{97\times 4-41\times 2-17\times 1}{8}\\\\\\x=\dfrac{388-82-17}{8}\\\\\\x=\dfrac{289}{8}\\\\i.e.\\\\x=36\frac{1}{8}\ in.[/tex]
