Greene Barrett
06/04/2023 · Middle School
\( 30 \% \) of a number is \( 86.4 \% \) of 50 . What is this number? A. 144 B. 17.36 C. 1440 D. 92
UpStudy ThothAI Solution
Tutor-Verified Answer
Step-by-step Solution
To find the number, we start by calculating \( 86.4\% \) of \( 50 \).
\[
86.4\% \text{ of } 50 = \frac{86.4}{100} \times 50 = 0.864 \times 50 = 43.2
\]
Now, we know that \( 30\% \) of the unknown number \( x \) is equal to \( 43.2 \).
\[
30\% \text{ of } x = 43.2
\]
This can be expressed mathematically as:
\[
\frac{30}{100} \times x = 43.2
\]
Simplifying the left side gives:
\[
0.3x = 43.2
\]
To find \( x \), we divide both sides by \( 0.3 \):
\[
x = \frac{43.2}{0.3}
\]
Calculating the right side:
\[
x = 43.2 \div 0.3 = 144
\]
Thus, the number is:
\[
\boxed{144}
\]
Quick Answer
The number is 144. Therefore, the correct answer is A. 144.
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