To find out how many days it will take Olivia to paint the entire fence, we need to express the total number of planks and the number of planks she paints each day in terms of algebra.
Let \( T \) represent the number of planks Olivia paints each day. The total number of planks in the fence is 750.
The number of days (\( D \)) it will take Olivia to finish painting the fence can be expressed with the following algebraic expression:
\[ D = \frac{750}{T} \]
This expression shows that the number of days needed to paint the entire fence is equal to the total number of planks (750) divided by the number of planks painted each day (T).
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