Question

This week Andres will practice with his band for 1 1\2 hours monday , 1 3\4 hours on tuesday , and 2 hours wednesday . Next week andres will practice with his band for the same number of hours on monday tuesday wednesday . What was the total number of hours andres will practice with his band over these 6 days

Answer 1

Answer:

10.5 hours

Step-by-step explanation:

Given:

This week Andres will practice with his band for

$1\frac{1}{2} \ means\ \frac{3}{2} \ hours$ on Monday

$1\frac{3}{4} \ means\ \frac{7}{4} \ hours$  on Tuesday

2 hours Wednesday.

Next week Andres will practice with his band for the same number of hours on Monday, Tuesday, Wednesday.

Question asked:

What was the total number of hours Andres will practice with his band over these 6 days?

Solution:

As she practice for two weeks, three days of each week:

On two Monday, she will practice = $\frac{3}{2} + \frac{3}{2} =\frac{3+3}{2} =\frac{6}{2} =3\ hours$

On two Tuesday, she will practice = $\frac{7}{4} +\frac{7}{4}=\frac{7+7}{4} =\frac{14}{4} =\frac{7}{2} \ hours$

On two Wednesday, she will practice = $2+2=4 \ hours$

Total hours, she will practice over 6 days  $=3+\frac{7}{2} +4$

                                                                      $=7+\frac{7}{2} \\ \\ =\frac{2\times7+7}{2} \\ \\ =\frac{21}{2} \\ \\ =10.5\ hours$

Thus, Andres will practice 10.5 hours with his band over these 6 days.