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:

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

$$ 5\frac{1}{2} \times \frac{5}{12} = \frac{11}{2} \times \frac{5}{12} = \frac{55}{24} = 2\frac{7}{24} $$

Answer:

• 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. (Correct answer)