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Question Three-fifths of the members of the school choir are women. If there are 24 women, what is the total number of choir members?

Ask by Bush Ross. in the United States
Feb 27,2025

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The total number of choir members is 40.

Solución

Let the total number of choir members be T. Three-fifths of the members are women, so (3/5)T = 24. To solve for T, multiply both sides by the reciprocal of 3/5, which is 5/3:   T = 24 × (5/3)   T = 40 Therefore, the total number of choir members is 40.

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Extra Insights

Did you know that the "three-fifths rule" has roots that trace back to the 18th century in the U.S. Constitution? It was a way to determine representation in Congress, taking into account a conflicting social reality. In this case, though, it’s all about the choir! If three-fifths of the members are women and there are 24 women, you can determine the total choir size by setting up a simple equation. To solve, you can let \( x \) be the total number of choir members. Since three-fifths of \( x \) equals 24, we have \( \frac{3}{5}x = 24 \). By multiplying both sides by \( \frac{5}{3} \), you find that \( x = 40 \). So the total number of choir members is 40! Now that’s a harmonious gathering!

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