Answer:
The size of the original piece of the wood will be = 24 inches.
Step-by-step explanation:
Let the original sizeof the wood be = x inches.
Now, according to the question the carpenter cuts 3/16 of an inch off the wood so that it measures 4 1/2 inches that is [tex]\frac{9}{2}[/tex]inches.
Thus, [tex]\frac{3}{16}x=\frac{9}{2}[/tex]
⇒[tex]x=\frac{9}{2}{\times}\frac{16}{3}[/tex]
⇒[tex]x=24[/tex]inches
Thus, the size of the original piece of the wood will be = 24 inches.
Answer:
Original length of the wood is 24 inches.
Step-by-step explanation:
Let the original length of the wood = x inches.
It is given that, [tex]\frac{3}{16}[/tex] inches of the wood is cut, so that it measures [tex]4\frac{1}{2}[/tex] i.e. [tex]\frac{9}{2}[/tex]inches
So, we have the equation,
[tex]\frac{3}{16}x=\frac{9}{2}[/tex]
i.e. [tex]x=\frac{9\times 16}{2\times 3}[/tex]
i.e. [tex]x=\frac{144}{6}[/tex]
i.e. x = 24 inches
Thus, the original length of the wood is 24 inches.
