Question

A building contractor has a piece of crown molding that is 48 1/2 in. Long. He cuts off one piece measuring 10 1/4 in. and another piece of 2 ft and 1/8 in. How much crown molding does he have left?

Answer 1

Answer:

The crown molding that was left was:

                   $36\frac{1}{8}\ in.$

Step-by-step explanation:

The length of the crown is: 48 1/2 in.

which could also be given by:

$48\frac{1}{2}=\dfrac{97}{2}\ in.$

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:

$10\frac{1}{4}=\dfrac{41}{4}\ in.$

and $2\frac{1}{8}=\dfrac{17}{8}\ in.$

No, let the remaining piece be of length ' x'

This means that:

   $\dfrac{97}{2}=\dfrac{41}{4}+\dfrac{17}{8}+x\\\\\\i.e.\\\\\\x=\dfrac{97}{2}-\dfrac{41}{4}-\dfrac{17}{8}\\\\\\x=\dfrac{97\times 4-41\times 2-17\times 1}{8}\\\\\\x=\dfrac{388-82-17}{8}\\\\\\x=\dfrac{289}{8}\\\\i.e.\\\\x=36\frac{1}{8}\ in.$

Answer 2

10 1/4 = 10 2/8 + 24 1/8 =34 3/8 ,48 4/8 - 34 3/8 = 14 1/8 inches left ,( - 1/4'' for 2 cuts @1/8'' each)