While she is in Italy, she frequently engages in mountain climbing and has climbed all the significant mountains

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While she is in Italy, she frequently engages in mountain climbing and has climbed all the significant mountains at least once. Regrettably, she suffered a leg fracture last month, so currently she is occupied with reading and watching a substantial amount of television. Normally, she doesn"t watch much television, but since last month she has been watching no less than three episodes of a television series every
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day. She has currently finished watching a total of 36 episodes of the series.

In order to find out how many days she has been in Italy, we can set up an equation based on the information given. Let"s assume that she has been in Italy for \(x\) days.

Since she has been watching no less than three episodes of the television series every day, we can express the number of episodes she has watched as a function of the number of days she has been in Italy:

\[36 = 3x\]

To solve for \(x\), we can divide both sides of the equation by 3:

\[x = \frac{36}{3} = 12\]

Therefore, she has been in Italy for 12 days.

Now, let"s explain the solution step-by-step to make it easier for the student to understand:

1. We are given that she has finished watching a total of 36 episodes of a television series.
2. We are also told that she has been watching at least three episodes every day.
3. We need to determine how many days she has been in Italy.
4. Let"s assume that she has been in Italy for \(x\) days.
5. Since she has been watching three episodes per day, the total number of episodes she has watched can be expressed as \(3x\).
6. We can set up an equation: \(3x = 36\).
7. To isolate \(x\), we can divide both sides of the equation by 3: \(x = \frac{36}{3}\).
8. Simplifying, we find that \(x = 12\).
9. Therefore, she has been in Italy for 12 days.

I hope this explanation helps clarify the solution to the problem. If you have any further questions, feel free to ask!