A full

A full bag of dog food weights 5 1/2 pounds. How much dog food do you have if there are 3 3/4 bags in the cupboard?

Correct answer:

x =  20.625 lb

Step-by-step explanation:

$$\begin{gathered} a=5{\displaystyle \frac{1}{2}}=5+{\displaystyle \frac{1}{2}}={\displaystyle \frac{5\cdot 2+1}{2}}={\displaystyle \frac{11}{2}}=5.5\text{ lb } \\ n=3{\displaystyle \frac{3}{4}}=3+{\displaystyle \frac{3}{4}}={\displaystyle \frac{3\cdot 4+3}{4}}={\displaystyle \frac{15}{4}}=3.75 \\ x=a\cdot n=5.5\cdot 3.75={\displaystyle \frac{165}{8}}\text{ lb}=20\frac{5}{8}\text{ lb}=20.625\text{ lb} \end{gathered}$$

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