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Allison lives [tex]\frac{3}{4}[/tex] of a mile from school. She walks to school 5 days a week. She also walks home 3 days a week. How many miles in all does she walk to and from school each week?

Answer :

Final answer:

Allison walks a total of 15 miles to and from school each week.

Explanation:

Allison walks to school 5 days a week and walks home 3 days a week. To find the total distance she walks in a week, we need to add up the distances for each trip. She walks 3/4 of a mile to school and the same distance back, so she walks 3/4 + 3/4 = 1.5 miles each day.

Since she walks 5 days a week to school, the total distance she walks to school is 1.5 x 5 = 7.5 miles in a week. This means she walks 3/4 mile * 5 days = 3.75 miles to school per week. Allison also walks back home 3 days a week, which equates to an additional 3/4 mile * 3 days = 2.25 miles per week.

To find the total miles she walks in a week, sum up the miles she walks to school and back home. 3.75 miles + 2.25 miles = 6 miles. So, Allison walks a total of 6 miles each week.Additionally, she walks the same distance back home 3 days a week, so the total distance she walks to and from school each week is 7.5 + 7.5 = 15 miles.

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