Questions: Find the unknown quantity in the following percent problem using the formula R * B = A. Round your answer to two decimal places, if necessary. 30% of is 48.

Solution Steps

To find the unknown quantity in the percent problem, we can use the formula \( R \cdot B = A \), where \( R \) is the rate (in decimal form), \( B \) is the base (unknown quantity), and \( A \) is the amount. Here, \( R = 0.30 \) (since 30% is 0.30 in decimal form) and \( A = 48 \). We need to solve for \( B \) by rearranging the formula to \( B = \frac{A}{R} \).

We are given the following values:

• Rate \( R = 30\% = 0.30 \)
• Amount \( A = 48 \)

We will use the formula \( R \cdot B = A \) to find the unknown quantity \( B \). Rearranging the formula gives us: \[ B = \frac{A}{R} \]

Substituting the known values into the equation: \[ B = \frac{48}{0.30} \]

Calculating the value of \( B \): \[ B = 160.0 \]

Final Answer