Question

A drummer and a guitarist each wrote songs for their band. The guitarist wrote 8 fewer than twice the number

of songs that the drummer wrote. They wrote a total of 46 songs. How many songs did each person write?

Answer 1

Answer:We want to write and solve a system of equations to model the given situation.

g = 2*d - 8

g + d = 46

The first thing we need to do, is define the variables we will be using.

g = number of songs that the guitarist wrote.

d = number of songs that the drummer wrote.

From "The guitarist wrote 8 fewer than twice the number of the songs that the drummer wrote."

We can write:

g = 2*d - 8

And we know that in total they wrote 46 songs, so we can also write:

g + d = 46

Then the system of equations is:

g = 2*d - 8

g + d = 46

Explanation: