Nina mixed 2 ⅛ pounds of apples, 1 ½ pounds of berries, and 1 ¼ pounds of grapes for a salad. She set aside ⅓ of the slad for dinner and put the rest in a container for later. How many pounds of salad did she put in the container?

Respuesta :

Answer: [tex]\dfrac{13}{4}\ \text{or}\ 3\ \dfrac{1}{4}\ \text{Pounds}[/tex]

Step-by-step explanation:

Given

Nina mixed [tex]2\ \frac{1}{8}[/tex] pounds of apples, [tex]1\ \frac{1}{2}[/tex] pounds of berries, and [tex]1\ \frac{1}{4}[/tex] pounds of grapes.

Total salad is

[tex]\Rightarrow \dfrac{2\times 8+1}{8}+\dfrac{1\times 2+1}{2}+\dfrac{1\times 4+1}{4}\\\\\Rightarrow \dfrac{17}{8}+\dfrac{3}{2}+\dfrac{5}{4}=\dfrac{17+12+10}{8}\\\\\Rightarrow \dfrac{39}{8}\ \text{Pounds}[/tex]

Now, one-third of the salad is kept aside and the remaining is put in the container.

Amount of salad Put in the container is

[tex]\Rightarrow (1-\dfrac{1}{3})\cdot (\dfrac{39}{8})=\dfrac{13}{4}\ \text{Pounds}[/tex]