teaganjones004
Answered

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36. During rehearsal for the Founders' Day choir
program, the director, Mrs. Mazurek, tried 3 different
configurations, each using all the choir members at the
rehearsal. One configuration was to have only rows of
12, one was to have only rows of 15, and one was to
have only rows of 20. None of these configurations
worked because for each, the last row had 1 person
less than the other rows. What was the least of the
possible numbers of choir members at the rehearsal?

Sagot :

The LCM stands for the least common multiple. The least of the possible number of choir members at the rehearsal is 59.

What is LCM?

The least common multiple that is divisible by both a and b is the smallest positive integer, lowest common multiple, or smallest common multiple of two numbers a and b, generally indicated by LCM.

Given the configurations of choir members at the rehearsal, which are,

  • One configuration was to have only rows of 12,
  • One was to have only rows of 15,
  • And one was to have only rows of 20.

Now, it takes the LCM of 12, 15, and 20, then the LCM will be 60, But since None of these configurations worked because for each, the last row had 1 person less than the other rows. The number of members was 1 less than the LCM.

Hence, the least of the possible number of choir members at the rehearsal is 59.

Learn more about LCM:

https://brainly.com/question/20739723

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