Question

anne has \\(5\frac{1}{2}\\) pounds of chocolate. if she gives betsy one-fourth of the chocolate and jon one-third of the chocolate, how many pounds will she have left?

• she will have \\(\frac{7}{12}\\) pounds left.
• she will have \\(3\frac{5}{24}\\) pounds left.
• she will have \\(4\frac{11}{12}\\) pounds left.
• she will have \\(2\frac{7}{24}\\) pounds left.

Explanation:

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<reasoning>

Calculate the total fraction of chocolate given away

\[
\frac{1}{4} + \frac{1}{3} = \frac{3}{12} + \frac{4}{12} = \frac{7}{12}
\]

Determine the remaining fraction of chocolate

\[
1 - \frac{7}{12} = \frac{5}{12}
\]

Calculate the remaining weight in pounds

\[
5\frac{1}{2} \times \frac{5}{12} = \frac{11}{2} \times \frac{5}{12} = \frac{55}{24} = 2\frac{7}{24}
\]
</reasoning>

<answer>
<mcq-option>She will have \(\frac{7}{12}\) pounds left.</mcq-option>
<mcq-option>She will have \(3\frac{5}{24}\) pounds left.</mcq-option>
<mcq-option>She will have \(4\frac{11}{12}\) pounds left.</mcq-option>
<mcq-correct>She will have \(2\frac{7}{24}\) pounds left.</mcq-correct>
</answer>

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Answer:

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<reasoning>

Calculate the total fraction of chocolate given away

\[
\frac{1}{4} + \frac{1}{3} = \frac{3}{12} + \frac{4}{12} = \frac{7}{12}
\]

Determine the remaining fraction of chocolate

\[
1 - \frac{7}{12} = \frac{5}{12}
\]

Calculate the remaining weight in pounds

\[
5\frac{1}{2} \times \frac{5}{12} = \frac{11}{2} \times \frac{5}{12} = \frac{55}{24} = 2\frac{7}{24}
\]
</reasoning>

<answer>
<mcq-option>She will have \(\frac{7}{12}\) pounds left.</mcq-option>
<mcq-option>She will have \(3\frac{5}{24}\) pounds left.</mcq-option>
<mcq-option>She will have \(4\frac{11}{12}\) pounds left.</mcq-option>
<mcq-correct>She will have \(2\frac{7}{24}\) pounds left.</mcq-correct>
</answer>

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