Question
8
325 children attended a concert at a school auditorium.
of the boys
and
of the girls left the auditorium at the end of the concert. 29 more
boys than girls remained in the auditorium. How many girls attended
the concert?
325 children attended a concert at a school auditorium.
boys than girls remained in the auditorium. How many girls attended
the concert?
Ask by Harrington Frank. in Singapore
Jan 20,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
80 girls attended the concert.
Solution

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Bonus Knowledge
Let
be the number of boys and
be the number of girls who attended the concert. We know that:
-
-
boys remained in the auditorium (since left). -
girls remained in the auditorium (since left). - There were 29 more boys than girls remaining:
.
From the first equation, we can express
in terms of
:
Now, substitute
in the fourth equation:
Now, simplify and solve for
:
Multiply the entire equation by 20 (the least common multiple of 4 and 5) to eliminate the fractions:
Now, solve for
:
Now that we have
, we can find
using the first equation:
Thus, the number of girls who attended the concert is
.