This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Step 1: Identify the amounts of powdered sugar and butter Mfanelo used. Amount of powdered sugar = (1)/(2) cup Amount of softened butter = (3)/(4) cup Step 2: Calculate the current ratio of powdered sugar to butter. The ratio is (powdered sugar) : (butter). Current Ratio = (1)/(2) : (3)/(4) To simplify this ratio, we can divide the first fraction by the second: (1)/(2) ÷ (3)/(4) = (1)/(2) × (4)/(3) = (1 × 4)/(2 × 3) = (4)/(6) Simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 2: (4 ÷ 2)/(6 ÷ 2) = (2)/(3) So, the current ratio of powdered sugar to butter is 2:3. Step 3: Compare the current ratio to the desired ratio. Desired ratio = 2:3 Current ratio = 2:3 Since the current ratio of powdered sugar to butter (2:3) is the same as the desired ratio (2:3), Mfanelo does not need to adjust the amounts. Mfanelo does not need to adjust the amounts of powdered sugar or butter. The current ratio of powdered sugar to butter is already 2:3.