Answer:
The number of piece is:
[tex]16[/tex]
Step-by-step explanation:
The length of one piece is: [tex]4\frac{1}{4}~\text{m}[/tex]
Which can also be written as: [tex]4.25~\text{m}[/tex]
Let the number of total pieces be [tex]x[/tex].
So, the total length will be the product of the length of one piece and the number of pieces:
[tex]\text{total}=4.25\cdot x[/tex]
We already know the total length to be: [tex]68~\text{m}[/tex]
Substitute the value into the equation we got above:
[tex]68=4.25\cdot x[/tex]
Find the value of [tex]x[/tex]:
[tex]68=4.25\cdot x\\\\\text{Divide both sides by }4.25:\\\frac{68}{4.25}=\frac{4.25x}{4.25}\\\\\text{Simplify}:\\16=x\\x=16[/tex]
