Question
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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?

Ask by Harrington Frank. in Singapore
Jan 20,2025

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Tutor-Verified Answer

Answer

80 girls attended the concert.

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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:
  1. boys remained in the auditorium (since left).
  2. girls remained in the auditorium (since left).
  3. 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 .

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