QQuestionMathematics
QuestionMathematics
A recipe for lemonade calls for 2 1 / 2 quarts of water. How many cups of water should you use for the recipe?
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Answer
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Step 1:: Recall the conversion factor between quarts and cups.
There are 4 cups in 1 quart.
Step 2:: Set up the conversion.
To convert 2 1 / 2 quarts to cups, multiply the volume in quarts by the conversion factor. \text{Volume in cups} = \text{Volume in quarts} \times \text{Conversion factor}
Step 3:: Plug in the values.
\text{Volume in cups} = 2 \frac{1}{2} \text{ quarts} \times 4 \frac{\text{cups}}{\text{quart}}
Step 4:: Convert the mixed number to an improper fraction.
\text{Volume in cups} = \frac{5}{2} \text{ quarts} \times 4 \frac{\text{cups}}{\text{quart}}
Step 5:: Cancel out the units and perform the multiplication.
\text{Volume in cups} = \frac{5}{2} \times 4
Step 6:: Multiply the numbers.
\text{Volume in cups} = \frac{5 \times 4}{2}
Step 7:: Simplify the fraction.
\text{Volume in cups} = \frac{20}{2}
Step 8:: Divide the numbers.
\text{Volume in cups} = 10
Final Answer
You should use 10 cups of water for the recipe.
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