Middle School

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Suzy runs \(1 \frac{1}{4}\) miles a day for a week. Gretchen walks 3 miles a day for a week. How many more miles does Gretchen cover than Suzy in a week?

a) What are the hidden questions?

b) Solve the problem.

Answer :

Suzy: (7 days)(5/4 miles per day) = 35/4 miles

Gretchen: (7 days)(3 miles per day) = 21 miles

Subtracting, 21 miles less 35/4 miles = 49 miles (difference)

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Rewritten by : Barada

The hidden questions in this question is basically what Suzy and Gretchen run or walk in a week. You're trying to find the difference, and to be able to do so, you need calculations. You need to multiply each person's rate per day by 7 to find their week rate.
Let's solve.
1.25×7
8.75
This is the distance Suzy runs in a week..
3×7
21
This is the distance Gretchen walks in a week.
Let's subtract.
21-8.75
12.25
So Gretchen covers 12.25 miles more than Suzy.