Write and solve an equation for the situation.

Mickey spent 3one-fourth hours practicing his trumpet. He needs to spend 5one-half hours to receive an A in band. How many more hours does Mickey need to spend practicing his trumpet?

Let x be the number of hours Mickey still needs to practice to receive an A in band.

We know that Mickey has already practiced for 3one-fourth hours, which can be written as 3.25 hours.

We also know that he needs to practice for 5one-half hours, which can be written as 5.5 hours.

So, the equation we can write is:

3.25 + x = 5.5

To solve for x, we can subtract 3.25 from both sides:

x = 5.5 - 3.25

x = 2.25

Therefore, Mickey still needs to practice for 2.25 more hours to receive an A in band.