Question
Fill in the missing number. \[ \% \text { of } 15=9 \]
Ask by Martinez Rogers. in the United States
Jan 24,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
The missing percentage is 60%.
Solution
To find the missing percentage in the equation:
\[ \% \text{ of } 15 = 9 \]
Let's represent the missing percentage as \( x \%\). The equation becomes:
\[ \frac{x}{100} \times 15 = 9 \]
**Step-by-Step Solution:**
1. **Set Up the Equation:**
\[
\frac{x}{100} \times 15 = 9
\]
2. **Solve for \( x \):**
\[
\frac{15x}{100} = 9
\]
\[
15x = 900 \quad (\text{Multiply both sides by } 100)
\]
\[
x = \frac{900}{15}
\]
\[
x = 60
\]
3. **Conclusion:**
\[
60\% \text{ of } 15 = 9
\]
**Answer:**
\[ 60\% \text{ of } 15 = 9 \]
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Simplify this solution Extra Insights
To find the missing percentage, we can set up the equation as \( \frac{x}{100} \times 15 = 9 \). First, we simplify that to \( x \times 15 = 900 \) by multiplying both sides by 100. Dividing both sides by 15 gives \( x = \frac{900}{15} = 60 \). So, the missing number is 60%. When dealing with percentages, a common mistake people make is confusing the operations. Remember, percentages represent a part per hundred, so always ensure you convert correctly between the part, whole, and percentage!
