Answer :
Sure! Let's work through the problem step by step to find out how many hours Sandra exercised over the four weeks of her vacation.
1. First Two Weeks:
- Sandra exercised for [tex]\(\frac{2}{3}\)[/tex] of an hour every day.
- There are 7 days in a week. So, for two weeks, the number of days is [tex]\(2 \times 7 = 14\)[/tex] days.
- Total hours exercised in the first two weeks is calculated by multiplying the daily exercise time by the number of days:
[tex]\[
\text{First two weeks total hours} = \frac{2}{3} \times 14 = 9.\overline{3} \text{ hours}
\][/tex]
2. Next Two Weeks:
- Sandra exercised for [tex]\(\frac{3}{6}\)[/tex] of an hour every day. Note that [tex]\(\frac{3}{6}\)[/tex] simplifies to [tex]\(\frac{1}{2}\)[/tex].
- Again, the period is two weeks, which equals 14 days.
- Total hours exercised in these two weeks is calculated by:
[tex]\[
\text{Next two weeks total hours} = \frac{1}{2} \times 14 = 7 \text{ hours}
\][/tex]
3. Total Hours for Four Weeks:
- To find the total number of hours Sandra exercised over the entire four weeks, we add up the total hours from both periods:
[tex]\[
\text{Total exercise hours} = 9.\overline{3} + 7 = 16.\overline{3} \text{ hours}
\][/tex]
Therefore, Sandra exercised a total of approximately 16.33 hours over the four weeks of her vacation.
1. First Two Weeks:
- Sandra exercised for [tex]\(\frac{2}{3}\)[/tex] of an hour every day.
- There are 7 days in a week. So, for two weeks, the number of days is [tex]\(2 \times 7 = 14\)[/tex] days.
- Total hours exercised in the first two weeks is calculated by multiplying the daily exercise time by the number of days:
[tex]\[
\text{First two weeks total hours} = \frac{2}{3} \times 14 = 9.\overline{3} \text{ hours}
\][/tex]
2. Next Two Weeks:
- Sandra exercised for [tex]\(\frac{3}{6}\)[/tex] of an hour every day. Note that [tex]\(\frac{3}{6}\)[/tex] simplifies to [tex]\(\frac{1}{2}\)[/tex].
- Again, the period is two weeks, which equals 14 days.
- Total hours exercised in these two weeks is calculated by:
[tex]\[
\text{Next two weeks total hours} = \frac{1}{2} \times 14 = 7 \text{ hours}
\][/tex]
3. Total Hours for Four Weeks:
- To find the total number of hours Sandra exercised over the entire four weeks, we add up the total hours from both periods:
[tex]\[
\text{Total exercise hours} = 9.\overline{3} + 7 = 16.\overline{3} \text{ hours}
\][/tex]
Therefore, Sandra exercised a total of approximately 16.33 hours over the four weeks of her vacation.
