1. **State the problem:** Anthony runs 4 days in a week, each day running 1.5 miles before school and an unknown distance after school. The total distance run in the week is 28 miles. We need to find how many miles he runs each day after school. 2. **Define variables:** Let $x$ be the number of miles Anthony runs each day after school. 3. **Write the equation:** Each day, Anthony runs $1.5$ miles before school and $x$ miles after school, so total miles per day is $1.5 + x$. 4. **Total miles for 4 days:** Since he runs 4 days, total miles is $4(1.5 + x)$. 5. **Set up the equation using total miles:** $$4(1.5 + x) = 28$$ 6. **Solve for $x$:** $$4 \times 1.5 + 4x = 28$$ $$6 + 4x = 28$$ $$4x = 28 - 6$$ $$4x = 22$$ $$x = \frac{22}{4} = 5.5$$ 7. **Interpretation:** Anthony runs 5.5 miles each day after school. **Final answer:** Anthony runs **5.5** miles each day after school.