Question

1. if a band has four more trumpet players than trombone players and there are 22 brass players in total, find the number of trumpet players and the number of trombone players.

Explanation:

Step1: Define variables

Let \( t \) be the number of trombone players. Then the number of trumpet players is \( t + 4 \).

Step2: Set up equation

The total number of brass players (trumpet + trombone) is 22, so \( t+(t + 4)=22 \).

Step3: Solve for \( t \)

Simplify the equation: \( 2t+4 = 22 \). Subtract 4 from both sides: \( 2t=22 - 4=18 \). Divide both sides by 2: \( t=\frac{18}{2}=9 \).

Step4: Find trumpet players

Trumpet players: \( t + 4=9 + 4 = 13 \).

Answer:

Number of trombone players: 9, Number of trumpet players: 13