Tara combines

Tara combines 2 1/4 liters of iced tea and 3 liters of lemonade into a jug. She then pours 3/4 liter of the tea/lemonade mixture into each glass. How many glasses of the mixture can she pour?

Correct answer:

n =  7

Step-by-step explanation:

$$\begin{gathered} V_1=2\frac{1}{4}=2+\frac{1}{4}=\frac{2\cdot 4+1}{4}=\frac{8+1}{4}=\frac{9}{4}=2\frac{1}{4}=2.25\text{l} \\ {V}_2=3\text{l} \\ V=V_1+V_2=\frac{9}{4}+3=\frac{9}{4}+\frac{3\cdot 4}{4}=\frac{9}{4}+\frac{12}{4}=\frac{9+12}{4}=\frac{21}{4}=5.25\text{l} \\ {V}_3=3/4=\frac{3}{4}=0.75\text{l} \\ n=V/V_3=\frac{21}{4}/\frac{3}{4}=\frac{21}{4}:\frac{3}{4}=\frac{21}{4}\cdot \frac{4}{3}=\frac{21\cdot 4}{4\cdot 3}=\frac{84}{12}=7 \end{gathered}$$

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