Question

The symphonic choir and the jazz choir are recording songs for an album. The album can be no more than 72

minutes long. The jazz choir records 7 songs with an average of 3 minutes per song. Each symphonic choir song is
an average of 3.5 minutes long. What is the maximum number of songs the symphonic choir can record?

Answer 1

The maximum number of songs that the symphonic choir can record is 14

Explanation:

Let

x ----> the number of songs of the symphonic choir

we know that

The number of songs of the jazz choir multiplied by its average time per song plus the the number of songs of the symphonic choir multiplied by its average time per song, must be less than or equal to 72 minutes

so

The inequality that represent this situation is

`3(7)+3.5(x)\leq 72`

solve for x

`21+3.5x\leq 72`

subtract 21 both sides

`3.5x\leq 51`

divide by 3.6 both sides

`x\leq 14.6\ songs`

therefore

The maximum number of songs that the symphonic choir can record is 14