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.
Bongie,Khanyisa and Mfanelo are participating in a baking challenge to create the most delicious cupcakes. Each baker is responsible for a different part of the recipe Bongie decides to make the cupcakes batter. She uses 3/4 cup of sugar, 1/2 cup of flour, and 1/3 cup of butter. How much flour did Bongie use compared to the total amount of sugar and butter combined?
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Answer
Step 1: Identify the amount of flour used. Bongie used cup of flour.
Step 2: Calculate the total amount of sugar and butter combined. Amount of sugar = cup Amount of butter = cup Total amount of sugar and butter =
To add these fractions, find a common denominator, which is 12. Now, add the fractions:
Step 3: Compare the amount of flour to the total amount of sugar and butter combined. This comparison is expressed as a ratio: . To simplify this complex fraction, multiply the numerator by the reciprocal of the denominator: Simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 2:
Bongie used as much flour compared to the total amount of sugar and butter combined.
The final answer is .
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Identify the amount of flour used. Bongie used (1)/(2) cup of flour.