Rodger is training for a marathon. On Monday he ran 
5
5 miles. On Tuesday he ran 
6
6 miles. On Wednesday he ran 
7
7 miles. On Thursday he ran 
5
5 miles.

If Rodger wants to average 
7.5
7.5 miles a day for the weekdays, how far must he run on Friday, since he doesn't run on weekends?
miles
Distance
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To find out how far Rodger must run on Friday to average 7.5 miles per day for the weekdays, we can follow these steps:

### Step 1: Calculate the total miles Rodger needs to run in the week.

Rodger wants to average 7.5 miles per day over 5 days (Monday to Friday).

\[
\text{Total miles needed} = 7.5 \times 5 = 37.5 \text{ miles}
\]

### Step 2: Calculate the total miles Rodger has already run from Monday to Thursday.

\[
\text{Miles run from Monday to Thursday} = 5 + 6 + 7 + 5 = 23 \text{ miles}
\]

### Step 3: Determine how many miles Rodger needs to run on Friday.

\[
\text{Miles needed on Friday} = \text{Total miles needed} - \text{Miles already run}
\]

\[
\text{Miles needed on Friday} = 37.5 - 23 = 14.5 \text{ miles}
\]

So, Rodger must run **14.5 miles** on Friday to achieve his goal of averaging 7.5 miles per day.

Would you like more details, or do you have any questions? Here are some related questions you might find interesting:

1. What would Rodger's average be if he ran only 10 miles on Friday?
2. How many miles should Rodger run if he wanted to average 8 miles per day instead?
3. What would be the effect of skipping one day on his average miles per day?
4. If Rodger increases his target average to 9 miles per day, how far must he run on Friday?
5. How can Rodger adjust his daily miles if he wants to avoid running more than 10 miles on any single day?

**Tip:** When calculating averages, remember that the total sum divided by the number of observations gives you the mean or average value.

Learn how Rodger can calculate the distance he needs to run on Friday to achieve his goal of averaging 7.5 miles per day over the weekdays. This problem involves basic arithmetic and average calculation.

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