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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?

User Gdgr
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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!
User Steve Danner
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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:


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Substituting values:


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Writing the amount for the next closest whole number we have:


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Answer:

Samuel will need 22 pieces of wood

User Pablo Herrero
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