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 songEach 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

Answer:

The symphonic choir can record a maximum of 14 songs.

Step-by-step explanation:

We know that the album cannot be more than 72 minutes long, and the jazz choir records a total of $7 (3min) = 21$  song minutes.

If we call $c$ the number of songs the symphonic choir records , and each song is 3.5 minute long, then the song minutes for the symphonic choir are $3.5c$; therefore, we have the inequality

$3.5c+21\leq 72$ (this says the song minutes for jazz choir plus song minutes for symphonic choice cannot exceed 72 minutes )

We solve this inequality by subtracting 21 from both sides and then dividing by 3.5:

$3.5c\leq 51$

$c\leq \frac{51}{3.5}$

$c\leq 14.47$

The maximum integer value $c$ can take is 14; therefore, the maximum number of songs the symphonic choir can record is 14 songs.