Respuesta :
Answer: The correct option is (B) [tex]1\dfrac{1}{2}.[/tex]
Step-by-step explanation: Given that Alice had [tex]4\dfrac{1}{4}[/tex] pounds of walnuts at the beginning of the week. At the end of the week, she had [tex]2\dfrac{3}{4}[/tex] pounds.
We are to find the quantity of walnuts that she had used.
We have
The quantity of walnuts that Alice has is
[tex]q_1=4\dfrac{1}{4}=\dfrac{17}{4}~\textup{pounds}[/tex]
and the quantity of walnut that she had at the end of the week is
[tex]q_2=2\dfrac{3}{4}=\dfrac{11}{4}~\textup{pounds}.[/tex]
Therefore, the quantity of walnut that she has used is given by
[tex]Q=q_1-q_2=\dfrac{17}{4}-\dfrac{11}{4}=\dfrac{6}{4}=\dfrac{3}{2}=1\dfrac{1}{2}.[/tex]
Thus, the required quantity of walnut that she has used is [tex]1\dfrac{1}{2}~\textup{pounds}.[/tex]
Option (B) is CORRECT.