SOLUTION: Mrs. Jones has 18 boys and 27 girls in choirs. She wants them in equal rows. Only boys or girls will be in row(meaning no mixed rows). What is the greatest number of students that

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Question 1097998: Mrs. Jones has 18 boys and 27 girls in choirs. She wants them in equal rows. Only boys or girls will be in row(meaning no mixed rows). What is the greatest number of students that can stand in each row?
Found 3 solutions by Edwin McCravy, KMST, ikleyn:
Answer by Edwin McCravy(20060)   (Show Source): You can put this solution on YOUR website!
The greatest common divisor, GCD, of 18 and 27, which is 9.

BBBBBBBBB    <--9 boys
BBBBBBBBB    <--9 boys
GGGGGGGGG    <--9 girls
GGGGGGGGG    <--9 girls
GGGGGGGGG    <--9 girls

Edwin


Answer by KMST(5328)   (Show Source): You can put this solution on YOUR website!
(or if you prefer)
(or if you prefer)
Both numbers are divisible by ,
so Mrs. Jones could make rows of students:
rows of girls, and
rows of boys.

NOTE:
If we have to mention vocabulary words,
and are the prime factorizations of 18, and 27,
and is the greatest common factor,
using all common prime factors (just 3),
with the least exponent found in the factorizations.

Answer by ikleyn(52848)   (Show Source): You can put this solution on YOUR website!
.
The tutor's @KMST explanation and solution is/are perfect.


So, the problem simply ask you to find the greatest common divisor of the numbers 18 and 27.

And this greatest common divisor (GCD) is 9.



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