Jana mixing

Jana mix is 1/4 gallon of orange juice and 1/2 gallon of pineapple juice to make punch. Each serving is 1/16 gallon. How many servings can go in?

Make sure you work.

Correct answer:

n =  12

Step-by-step explanation:

$$\begin{gathered} V=\frac{1}{4}+\frac{1}{2}=\frac{1}{4}+\frac{2}{4}=\frac{1+2}{4}=\frac{3}{4}=0.75\text{gal} \\ {V}_0=1/16=\frac{1}{16}=0.0625\text{gal} \\ n=V/V_0=\frac{3}{4}/\frac{1}{16}=\frac{3}{4}:\frac{1}{16}=\frac{3}{4}\cdot \frac{16}{1}=\frac{3\cdot 16}{4\cdot 1}=\frac{48}{4}=12 \end{gathered}$$

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