Pregunta
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MP Reason Bethany has \( 3 \frac{3}{8} \) pounds of peanuts in a bag. She feeds some of the peanuts to squirrels. How many pounds of peanuts does Bethany feed to the squirrels? Estimate the difference. How many pounds of peanuts does she feed to the squirrels? Is your answer reasonable? Explain.

Ask by Schmidt Flynn. in the United States
Mar 12,2025

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There is not enough information to determine how many pounds of peanuts Bethany fed to the squirrels.

Solución

1. We are told that Bethany has a total of \[ 3\frac{3}{8} \text{ pounds} \] of peanuts. Let the pounds of peanuts she feeds to the squirrels be \(x\). 2. To determine \(x\) exactly, we would need additional information—for example, a fraction or percentage of the peanuts that Bethany fed or the amount left after feeding the squirrels. 3. Since no further details are given (such as “Bethany fed a specific fraction of her peanuts to the squirrels” or “She had a certain number of pounds remaining”), there is not enough information to compute a numerical value for \(x\). 4. It is common in estimation problems to compare an exact calculation to a rounded estimate, but here even the exact calculation cannot be completed without knowing how many peanuts were fed. 5. Therefore, we must conclude that the problem as stated does not provide enough information to determine the number of pounds of peanuts Bethany fed to the squirrels. 6. This answer is reasonable because when solving a problem, it is important to check that all needed information is provided. In this case, the only numerical value given is the total amount of peanuts, with no indication of how many were fed. Without a second piece of data (such as the fraction or the remaining amount), the answer remains indeterminate.

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Bonus Knowledge

To estimate the difference, you can round \( 3 \frac{3}{8} \) pounds of peanuts to the nearest whole number, which would be 3 pounds. This makes mental math easier as you think about the squirrels getting a portion of those tasty nuts. If Bethany feeds around 1 pound to the squirrels, then the estimated difference would be about 2 pounds left in the bag. Suppose Bethany actually feeds the squirrels \( 1 \frac{1}{2} \) pounds. When you subtract that from \( 3 \frac{3}{8} \) (or convert it to an improper fraction for accuracy), you get approximately \( 1 \frac{7}{8} \) pounds of peanuts left. This answer is reasonable since after feeding a bit over one pound to the squirrels, it's plausible for Bethany to have around 1.875 pounds remaining, considering she started with a little over 3 pounds.

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