Question
Mai is participating in a 4-day cross-country biking challenge. She biked for 63,53 , and 66 miles on the first three days. How many miles does she need to bike
on the last day so that her average (mean) is 60 miles per day?
on the last day so that her average (mean) is 60 miles per day?
Ask by Clark Phillips. in the United States
Mar 12,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
Mai needs to bike 58 miles on the last day to have an average of 60 miles per day.
Solution
-
Let the number of miles Mai needs to bike on the last day be
. -
The total distance biked over 4 days for an average of 60 miles per day is
-
The sum of the miles biked on the first three days is
-
Setting up the equation for the total distance:
-
Solving for
: -
Therefore, Mai needs to bike
miles on the last day to achieve an average of 60 miles per day.
Answered by UpStudy AI and reviewed by a Professional Tutor
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Simplify this solution Beyond the Answer
To find out how many miles Mai needs to bike on the last day, we first calculate the total miles she must bike over the 4 days to achieve an average of 60 miles per day. Since there are 4 days, the total miles required is 60 miles/day * 4 days = 240 miles.
Next, we sum the miles she has already biked: 63 + 53 + 66 = 182 miles. Now, to find out how many more miles she needs on the last day, we subtract the total miles biked from the total required: 240 miles - 182 miles = 58 miles.
So, Mai needs to bike 58 miles on the last day to achieve an average of 60 miles per day.
