Question

The number of minutes that Jeanie practiced her violin was 15 less than twice the number of minutes that friend, Brian, practiced. Their total practice time was 120 minutes. Set up and solve an equation that mo the situation to determine how long Brian practiced. Show all steps and include let statement.

Answer 1

By setting up an equation B + (2B - 15) = 120, where B represents Brian's practice time, and solving for B, it has been determined that Brian practiced for 45 minutes.

Step-by-step explanation:

To determine how long Brian practiced his musical instrument based on the information provided, begin by defining variables. Let Brian's practice time in minutes be B. According to the problem, Jeanie's practice time is 15 minutes less than twice Brian's practice time, so that can be expressed as 2B - 15. The total combined practice time of both Jeanie and Brian is 120 minutes.

Now, set up an equation using the information given:

1. Brian's practice time + Jeanie's practice time = Total practice time
2. B + (2B - 15) = 120

Combine like terms:

3B - 15 = 120

Add 15 to both sides to solve for B:

3B = 135

Divide both sides by 3:

B = 45

Therefore, Brian practiced for 45 minutes.