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?

Mathematics

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Answer

613\frac{6}{13}

Step 1: Identify the amount of flour used. Bongie used 12\frac{1}{2} cup of flour.

Step 2: Calculate the total amount of sugar and butter combined. Amount of sugar = 34\frac{3}{4} cup Amount of butter = 13\frac{1}{3} cup Total amount of sugar and butter = 34+13\frac{3}{4} + \frac{1}{3}

To add these fractions, find a common denominator, which is 12. 34=3×34×3=912\frac{3}{4} = \frac{3 \times 3}{4 \times 3} = \frac{9}{12} 13=1×43×4=412\frac{1}{3} = \frac{1 \times 4}{3 \times 4} = \frac{4}{12} Now, add the fractions: 912+412=9+412=1312cups\frac{9}{12} + \frac{4}{12} = \frac{9+4}{12} = \frac{13}{12} cups

Step 3: Compare the amount of flour to the total amount of sugar and butter combined. This comparison is expressed as a ratio: AmountofflourTotalamountofsugarandbutter\frac{Amount of flour}{Total amount of sugar and butter}. 121312\frac{\frac{1}{2}}{\frac{13}{12}} To simplify this complex fraction, multiply the numerator by the reciprocal of the denominator: 12×1213=1×122×13=1226\frac{1}{2} \times \frac{12}{13} = \frac{1 \times 12}{2 \times 13} = \frac{12}{26} Simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 2: 12÷226÷2=613\frac{12 \div 2}{26 \div 2} = \frac{6}{13}

Bongie used 613\frac{6}{13} as much flour compared to the total amount of sugar and butter combined.

The final answer is 613\boxed{\frac{6}{13}}.

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Quick Answer

Identify the amount of flour used. Bongie used (1)/(2) cup of flour.

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?
Mathematics

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 amount of flour used. Bongie used (1)/(2) cup of flour. Step 2: Calculate the total amount of sugar and butter combined. Amount of sugar = (3)/(4) cup Amount of butter = (1)/(3) cup Total amount of sugar and butter = (3)/(4) + (1)/(3) To add these fractions, find a common denominator, which is 12. (3)/(4) = (3 × 3)/(4 × 3) = (9)/(12) (1)/(3) = (1 × 4)/(3 × 4) = (4)/(12) Now, add the fractions: (9)/(12) + (4)/(12) = (9+4)/(12) = (13)/(12) cups Step 3: Compare the amount of flour to the total amount of sugar and butter combined. This comparison is expressed as a ratio: Amount of flourTotal amount of sugar and butter. (1)/(2)(13)/(12) To simplify this complex fraction, multiply the numerator by the reciprocal of the denominator: (1)/(2) × (12)/(13) = (1 × 12)/(2 × 13) = (12)/(26) Simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 2: (12 ÷ 2)/(26 ÷ 2) = (6)/(13) Bongie used (6)/(13) as much flour compared to the total amount of sugar and butter combined. The final answer is (6)/(13).