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Lena ran [tex]17 \frac{1}{2}[/tex] miles this week. She runs [tex]2 \frac{1}{2}[/tex] miles each day. How many days did she run this week?

A. 3 days
B. 5 days
C. 6 days
D. 7 days

Answer :

Sure! Let's figure out how many days Lena ran this week based on the distances provided:

1. Total Miles Lena Ran: Lena ran a total of [tex]\( 17 \frac{1}{2} \)[/tex] miles this week. We can express this as a decimal: [tex]\( 17 \frac{1}{2} = 17.5 \)[/tex] miles.

2. Miles Run Per Day: Lena runs [tex]\( 2 \frac{1}{2} \)[/tex] miles each day. We can also convert this fraction to a decimal: [tex]\( 2 \frac{1}{2} = 2.5 \)[/tex] miles per day.

3. Calculating the Number of Days: To find out how many days Lena ran, we divide the total miles by the miles she runs each day:

[tex]\[
\text{Number of days} = \frac{17.5 \text{ miles}}{2.5 \text{ miles per day}}
\][/tex]

4. Perform the Division: Dividing 17.5 by 2.5 gives us 7.

So, Lena ran for 7 days this week. Therefore, the correct answer is 7 days.

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