Jun-Jee either ran 5 or 7 miles each day for 30 consecutive days. His total mileage during this period was 166>

number of days he ran 5 miles --- x

number of days he rans 7 miles --- 30-x

5x + 7(30-x) = 166

solve for x , then sub in the original definitions

Thank you so much !!!!

To find out how many days Jun-Jee ran 5 miles and how many days he ran 7 miles, we can set up a system of equations.

Let's assume Jun-Jee ran 5 miles for "x" days, and 7 miles for "y" days.

Based on the given information, we know that Jun-Jee ran 30 consecutive days, so we can write the first equation:

x + y = 30

We also know that the total mileage during this period was 166, so we can set up the second equation:

5x + 7y = 166

Now, we have a system of equations:

x + y = 30
5x + 7y = 166

We can use various methods to solve this system of equations. One method is substitution:

Let's solve the first equation for x and substitute it into the second equation:

x = 30 - y

Substituting x = 30 - y into the second equation:

5(30 - y) + 7y = 166
150 - 5y + 7y = 166
2y = 16
y = 8

Now, we know that Jun-Jee ran 7 miles for 8 days.

Substituting y = 8 back into the equation x + y = 30:

x + 8 = 30
x = 22

Therefore, Jun-Jee ran 5 miles for 22 days and 7 miles for 8 days.