Question
A recipe calls for \( 3 \frac{1}{2} \) cups of flour. How many cups will you need if you are preparing 6 batches of the recipe? subs Submit Question
Ask by Medina Fowler. in the United States
Jan 22,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
You need 21 cups of flour for 6 batches of the recipe.
Solution
To determine how many cups of flour you need for 6 batches of the recipe, follow these steps:
1. **Identify the amount of flour needed for one batch:**
\( 3 \frac{1}{2} \) cups of flour.
2. **Convert the mixed number to an improper fraction (optional but helpful for calculations):**
\( 3 \frac{1}{2} = \frac{7}{2} \) cups of flour.
3. **Multiply the flour needed for one batch by the number of batches:**
\[
\frac{7}{2} \text{ cups/batch} \times 6 \text{ batches} = \frac{7 \times 6}{2} = \frac{42}{2} = 21 \text{ cups}
\]
4. **Conclusion:**
You will need **21 cups of flour** to prepare 6 batches of the recipe.
**Alternatively, using decimal multiplication:**
1. Convert \( 3 \frac{1}{2} \) to a decimal:
\( 3.5 \) cups of flour.
2. Multiply by 6:
\( 3.5 \times 6 = 21 \) cups.
**Final Answer:**
**21 cups of flour** are needed for 6 batches of the recipe.
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Simplify this solution Beyond the Answer
To find out how many cups of flour you need for 6 batches of the recipe, first convert \( 3 \frac{1}{2} \) cups into an improper fraction. This gives you \( \frac{7}{2} \) cups. Now, multiply this by 6: \[ 6 \times \frac{7}{2} = \frac{42}{2} = 21 \] So, you will need 21 cups of flour for 6 batches! When working with fractions, it’s easy to get tripped up by improper fractions or mixed numbers. One common mistake is forgetting to convert a mixed number like \( 3 \frac{1}{2} \) to its improper fraction form before multiplication. Always remember to double-check your conversions to avoid miscalculations!
