Answer:
Number of servings: [tex]6\frac{2}{21}[/tex]
Step-by-step explanation:
In this problem, we have a container of orange juice helding a total of
[tex]C=5\frac{1}{3}[/tex]
cups of juice.
We can re-write this mixed fraction as improper fraction, and we get:
[tex]C=\frac{5\cdot 3 +1}{3}=\frac{16}{3}[/tex]
We also know that a serving of orange juice is equal to
[tex]s=\frac{7}{8}[/tex]
of cup of orange juice.
Here we want to find how many servings are in the container: to find that, we have to divide the total amount of orange juice in the container (C) by the amount of juice per serving (s), so we find:
[tex]n=\frac{C}{s}=\frac{16/3}{7/8}=\frac{16}{3}\cdot \frac{8}{7}=\frac{128}{21}=6\frac{2}{21}[/tex]
