Question
Rosa has \( 3 \frac{3}{4} \) pounds of dough. She uses \( \frac{1}{8} \) of a pound for one roll. How many rolls could be made from Rosals dough? 18 30 \( 3 \frac{1}{6} \) 9
Ask by Simmons Summers. in the United States
Mar 12,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
Rosa can make 30 rolls from her dough.
Solution
To determine how many rolls Rosa can make from her dough, we need to follow these steps:
1. **Convert the mixed number to an improper fraction**:
Rosa has \( 3 \frac{3}{4} \) pounds of dough. We convert this to an improper fraction.
\[
3 \frac{3}{4} = \frac{3 \times 4 + 3}{4} = \frac{12 + 3}{4} = \frac{15}{4}
\]
2. **Determine how much dough is used for one roll**:
Rosa uses \( \frac{1}{8} \) of a pound for one roll.
3. **Calculate the number of rolls**:
To find out how many rolls can be made, we divide the total amount of dough by the amount used for one roll:
\[
\text{Number of rolls} = \frac{\text{Total dough}}{\text{Dough per roll}} = \frac{\frac{15}{4}}{\frac{1}{8}}
\]
Dividing by a fraction is the same as multiplying by its reciprocal:
\[
\frac{15}{4} \div \frac{1}{8} = \frac{15}{4} \times \frac{8}{1} = \frac{15 \times 8}{4 \times 1} = \frac{120}{4} = 30
\]
Thus, Rosa can make **30 rolls** from her dough.
The answer is \( 30 \).
Answered by UpStudy AI and reviewed by a Professional Tutor
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Beyond the Answer
To determine how many rolls can be made from \( 3 \frac{3}{4} \) pounds of dough, first convert the mixed number into an improper fraction. This gives us \( 3 \times 4 + 3 = 15 \) over 4, so Rosa has \( \frac{15}{4} \) pounds of dough. Next, we need to find out how many \( \frac{1}{8} \) pound rolls she can make. To do this, we divide the total amount of dough by the amount used for one roll: \[ \frac{15/4}{1/8} = \frac{15}{4} \times \frac{8}{1} = \frac{120}{4} = 30 \] So, Rosa can make 30 rolls with her dough. Thus, the answer is 30!