Question
a) If \( 30 \% \) of a number is 60 , is the number greater than or less than 60 ? Select the correct choice below and fill in the answer box within your choice. A. Greater than 60 , because the number is B. Less than 60 , because the number is
Ask by Rose Morgan. in the United States
Mar 22,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The number is greater than 60 because it is 200.
Solution
Let the number be \( x \).
1. We know that \( 30\% \) of \( x \) is 60, so we write:
\[
0.3x = 60
\]
2. To solve for \( x \), divide both sides by \( 0.3 \):
\[
x = \frac{60}{0.3} = 200
\]
3. Since \( 200 \) is greater than \( 60 \), the correct choice is:
**A. Greater than 60, because the number is \( 200 \).**
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Simplify this solution Beyond the Answer
A. Greater than 60, because the number is \( \frac{60}{0.30} = 200 \). Since 200 is much greater than 60, we know that the original number must indeed be greater than 60. B. Less than 60, because the number is not a possible choice for this problem! The percentage relationship indicates that the number is significantly larger than 60, which solidifies choice A as the correct option.
