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A professional pianist spends an average of 45 hours practicing the piano in a three-week period. Using this ratio, how many hours does he practice in three months?

1. Convert three months to weeks. (Assume four weeks per month, so three months is approximately 12 weeks.)
2. Set up a proportion to solve for the unknown quantity.

\[
\frac{45 \text{ hours}}{3 \text{ weeks}} = \frac{x \text{ hours}}{12 \text{ weeks}}
\]

3. Solve the proportion for \(x\), showing all work.
4. Write a sentence to explain the meaning of the answer for the situation.

Answer :

Answer:

An average of about 450 hours; You could say something along the lines of "If the pianist who practices an average of 45 hours per week practices everyday for three months, they would play for approximately 450 hours total."

Step-by-step explanation:

We could write an equation to make it simpler to figure out, making the number of hours after three months = n, 4 = weeks in a month, 3 = the number of months, and 45 = the number of hours after a week. As an equation, it would look like:

45 * 3 * 4 = n

We know 3 *4 is 12, so the equation becomes 45 * 12 = n.

45 * 12 = 540, therefore the pianist practices an average of approximately 540 hours over a three-month period of time.

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