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Your goal is to exercise for 15 hours this month. You exercise for [tex]$3 \frac{1}{2}$[/tex] hours the first week and [tex]$3 \frac{3}{4}$[/tex] hours the next week. How many more hours do you need to exercise to reach your goal?

What do you know?
- Goal is 15 hours of exercise this month.
- Worked out [tex]$3 \frac{1}{2}$[/tex] hours the first week.
- Worked out [tex]$3 \frac{3}{4}$[/tex] hours the second week.

How many more hours do you need to exercise?

Answer :

Sure! Let's solve the problem step-by-step to find out how many more hours you need to exercise to reach your goal of 15 hours this month.

1. Identify the Goal:
Your target is to exercise for a total of 15 hours this month.

2. Know the Exercise Done Already:
- You exercised [tex]\(3 \frac{1}{2}\)[/tex] hours in the first week. This can be written as 3.5 hours.
- You exercised [tex]\(3 \frac{3}{4}\)[/tex] hours in the second week. This can be written as 3.75 hours.

3. Calculate the Total Exercise Hours Done:
Add the hours you exercised in the first and second weeks:
[tex]\[
3.5 \, \text{hours} + 3.75 \, \text{hours} = 7.25 \, \text{hours}
\][/tex]
So far, you have completed 7.25 hours of exercise.

4. Determine the Remaining Hours Needed:
Subtract the total hours you have exercised from your goal:
[tex]\[
15 \, \text{hours} - 7.25 \, \text{hours} = 7.75 \, \text{hours}
\][/tex]

Therefore, you need to exercise for an additional 7.75 hours this month to meet your goal of 15 hours.

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