Questions: Use the basic proportion P/100 = A/B to solve the following problem for the unknown quantity. Round your answer to the nearest hundredth, if necessary.
30% of 30 is
Transcript text: Use the basic proportion $\frac{P}{100}=\frac{A}{B}$ to solve the following problem for the unknown quantity. Round your answer to the nearest hundredth, if necessary.
$30 \%$ of 30 is
Solution
Solution Steps
To solve the problem, we need to find the value of \( A \) in the proportion \(\frac{P}{100}=\frac{A}{B}\), where \( P = 30 \) and \( B = 30 \). This will give us the value of 30% of 30. We can rearrange the equation to solve for \( A \) by multiplying both sides by \( B \).
Step 1: Set Up the Proportion
To find 30% of 30, we use the proportion \(\frac{P}{100} = \frac{A}{B}\), where \(P = 30\) and \(B = 30\). We need to solve for \(A\).
Step 2: Solve for \(A\)
Rearrange the proportion to solve for \(A\):
\[
A = \frac{P}{100} \times B
\]
Step 3: Substitute the Values
Substitute \(P = 30\) and \(B = 30\) into the equation:
\[
A = \frac{30}{100} \times 30
\]
Step 4: Calculate the Result
Calculate the value of \(A\):
\[
A = 0.3 \times 30 = 9.0
\]