Answer:
10.5 hours
Step-by-step explanation:
Given:
This week Andres will practice with his band for
on Monday
on Tuesday
2 hours Wednesday.
Next week Andres will practice with his band for the same number of hours on Monday, Tuesday, Wednesday.
<u>Question</u> <u>asked</u>:
What was the total number of hours Andres will practice with his band over these 6 days?
<u>Solution</u>:
As she practice for two weeks, three days of each week:
On two Monday, she will practice = ![\frac{3}{2} + \frac{3}{2} =\frac{3+3}{2} =\frac{6}{2} =3\ hours](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B2%7D%20%2B%20%5Cfrac%7B3%7D%7B2%7D%20%3D%5Cfrac%7B3%2B3%7D%7B2%7D%20%3D%5Cfrac%7B6%7D%7B2%7D%20%3D3%5C%20hours)
On two Tuesday, she will practice = ![\frac{7}{4} +\frac{7}{4}=\frac{7+7}{4} =\frac{14}{4} =\frac{7}{2} \ hours](https://tex.z-dn.net/?f=%5Cfrac%7B7%7D%7B4%7D%20%2B%5Cfrac%7B7%7D%7B4%7D%3D%5Cfrac%7B7%2B7%7D%7B4%7D%20%3D%5Cfrac%7B14%7D%7B4%7D%20%3D%5Cfrac%7B7%7D%7B2%7D%20%5C%20hours)
On two Wednesday, she will practice = ![2+2=4 \ hours](https://tex.z-dn.net/?f=2%2B2%3D4%20%5C%20hours)
Total hours, she will practice over 6 days ![=3+\frac{7}{2} +4](https://tex.z-dn.net/?f=%3D3%2B%5Cfrac%7B7%7D%7B2%7D%20%2B4)
![=7+\frac{7}{2} \\ \\ =\frac{2\times7+7}{2} \\ \\ =\frac{21}{2} \\ \\ =10.5\ hours](https://tex.z-dn.net/?f=%3D7%2B%5Cfrac%7B7%7D%7B2%7D%20%5C%5C%20%5C%5C%20%3D%5Cfrac%7B2%5Ctimes7%2B7%7D%7B2%7D%20%5C%5C%20%5C%5C%20%3D%5Cfrac%7B21%7D%7B2%7D%20%5C%5C%20%5C%5C%20%3D10.5%5C%20hours)
Thus, Andres will practice 10.5 hours with his band over these 6 days.