Question

A drummer and a guitarist each wrote songs for their band. The guitarist wrote 5 fewer than three times the number of songs that the drummer wrote. They wrote a total of 35 songs. Which system of equations models this situation if the drummer wrote d songs and the guitarist wrote g songs? *

Answer 1

Guitarist wtote 25 songs

Drummer wrote 10 songs

Explanation:

G: number of guitarist songs

D: number of Drummer songs

We have:

G=3D - 5 (The guitarist wrote 5 fewer than three times the number of songs that the drummer wrote)

G+D=35 (They wrote a total of 35 songs)

That is the meaning of each equation.

Now we have to solve these system of equations:

G=3D-5

G+D=35

Using the substitution method:

(3D-5)+D=35

4D=35+5

4D+40

D=10

Thus: G=35-10

G=25