Question

Daniel is making party bags with fruit snacks and other party favors.

He wants to divide 3 pounds of fruit snacks so that each bag has of a pound of fruit snacks.

Using the diagram below, determine how many bags he will have.



A. 8

B. 5/3

C. 15

D. 3/5

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Answer 1

To determine how many bags Daniel can make with 3 pounds of fruit snacks, given that each bag has \( \frac{1}{3} \) of a pound of fruit snacks, we can use the following calculation:

1. **Total Weight of Fruit Snacks:** 3 pounds
2. **Weight Per Bag:** \( \frac{1}{3} \) pound

We can find the number of bags by dividing the total weight of the fruit snacks by the weight per bag:

\[
\text{Number of Bags} = \frac{\text{Total Weight}}{\text{Weight Per Bag}} = \frac{3}{\frac{1}{3}}
\]

To divide by a fraction, we multiply by the reciprocal:

\[
\text{Number of Bags} = 3 \times 3 = 9
\]

However, if the weight per bag was different (for example, if it was \( \frac{1}{4} \) pound or some other fraction), we would determine the number of bags accordingly.

Given the options you provided (8, \( \frac{5}{3} \), 15, \( \frac{3}{5} \)), the closest correct answer (if indeed \( \frac{1}{3} \) pound per bag is accurate) suggests a mistake in interpreting your question. If each bag has \( \frac{1}{3} \) pound, the correct number of bags is indeed \( 9 \), which is not listed.

Please check the weight per bag or the options provided. If you meant \( \frac{1}{2} \) pound instead, then he would make \( 6 \) bags:

- Bag Calculation for \( \frac{1}{2} \):
\[
\text{Number of Bags} = \frac{3}{\frac{1}{2}} = 3 \times 2 = 6
\]

Let me know the exact amount per bag to assist you further!