Samuel needs 233 feet of wood to build a fence. The wood comes in lengths of 11 feet. How many total pieces of wood will Samuel need?
Divide 233 by 11. The quotient is 21.1818181818 repeating. Because you can't have a fraction of a piece of wood, Samuel will need 22 pieces of wood in all. I hope this helps!
For this case, the first thing we must do is define variables:
x: total amount of wood feet
y: measure of each piece of wood in feet
n: total number of pieces of wood
We now write the equation that models the problem:
\(n = \frac{x}{y}
\)
Substituting values:
\(n = \frac{233}{11}
n = 21.18
\)
Writing the amount for the next closest whole number we have:
\(n = 22
\)
Answer:
Samuel will need 22 pieces of wood