Question
Solve the problems. 1 Miguel is making trail mix. He uses \( 5 \frac{1}{3} \) ounces of nuts and \( 2 \frac{3}{4} \) ounces of raisins. Whic of these is a reasonable estimate for how many more ounces of nuts than raisins Miguel uses?
Ask by Wagner Sanders. in the United States
Jan 23,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
A reasonable estimate is that Miguel uses about 2 more ounces of nuts than raisins.
Solution
To estimate how many more ounces of nuts than raisins Miguel uses, we can follow these steps:
1. **Convert the mixed numbers to improper fractions**:
- For nuts: \( 5 \frac{1}{3} = \frac{16}{3} \) ounces
- For raisins: \( 2 \frac{3}{4} = \frac{11}{4} \) ounces
2. **Estimate the values**:
- We can round \( 5 \frac{1}{3} \) to \( 5 \) and \( 2 \frac{3}{4} \) to \( 3 \) for a quick estimate.
3. **Calculate the difference**:
- The estimated difference in ounces is \( 5 - 3 = 2 \) ounces.
Thus, a reasonable estimate for how many more ounces of nuts than raisins Miguel uses is approximately \( 2 \) ounces.
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Mind Expander
To solve the problem, let's first convert the mixed numbers into improper fractions for easier calculations. For the nuts: \( 5 \frac{1}{3} = \frac{16}{3} \) ounces. For the raisins: \( 2 \frac{3}{4} = \frac{11}{4} \) ounces. Next, to find the difference in ounces of nuts and raisins, we estimate: Using whole numbers, \( 5 \frac{1}{3} \) rounds to about 5.33 (or simply 5) and \( 2 \frac{3}{4} \) rounds to 3. So, we can say that Miguel uses approximately \( 5 - 3 = 2 \) ounces more of nuts than raisins. Thus, a reasonable estimate for how many more ounces of nuts than raisins Miguel uses is about 2 ounces. Let’s keep that trail mix delicious and not get too bogged down by numbers!
