Sure, let's break down the solution step-by-step:
1. Determine the distance Jatmie ran on Monday:
Jatmie ran [tex]\(3 \frac{1}{2}\)[/tex] miles on Monday. In decimal form, this is 3.5 miles.
2. Calculate the distance Jatmie ran on Tuesday:
Jatmie ran half the distance on Tuesday that she ran on Monday.
[tex]\[
\text{Distance on Tuesday} = \frac{1}{2} \times 3.5 = 1.75 \text{ miles}
\][/tex]
3. Calculate the total distance Jatmie ran on both days:
Now, let's add the distances she ran on both days:
[tex]\[
\text{Total distance} = 3.5 \text{ miles (Monday)} + 1.75 \text{ miles (Tuesday)}
\][/tex]
4. Sum up the distances:
[tex]\[
3.5 + 1.75 = 5.25 \text{ miles}
\][/tex]
So, Jatmie ran a total of 5.25 miles on Monday and Tuesday.
