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 recor

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?

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Julia 1 week 2021-11-20T10:41:56+00:00 1 Answer 0 views 0

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  1. Emma
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    2021-11-20T10:43:41+00:00

    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.

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