Question
A choir director tries to maintain a ratio of 5 altos for every 7 sopranos. How many altos would the choir director want if there are 21 sopranus?

A choir director tries to maintain a ratio of 5 altos for every 7 sopranos. How many altos would the choir director want if there are 21 sopranus?

Ask by Kelley Ramos.
Feb 07,2025 22:06

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Tutor-Verified Answer

Answer

The choir director would want 15 altos if there are 21 sopranos.

Solution

The ratio of altos to sopranos is 5:7. This means for every 7 sopranos, there are 5 altos. With 21 sopranos, we notice that 21 divided by 7 is 3. Therefore, the number of altos is 5 × 3 = 15. The choir director would want 15 altos if there are 21 sopranos.

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Bonus Knowledge

If there are 21 sopranos, we can set up a proportion based on the desired ratio of altos to sopranos. Since the ratio is 5 altos for every 7 sopranos, we can establish the relationship: 5/7 = x/21, where x represents the number of altos. Cross-multiplying gives us 5 * 21 = 7 * x. This simplifies to 105 = 7x, which leads to x = 15. Therefore, the choir director would want 15 altos to maintain the right balance with 21 sopranos! Now you’re ready for choir practice! It's all about teamwork and harmony - quite literally! Keep the numbers in check and your vocals in tune.
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