Bryon

Bryon has 1 7/10 kilogram of black pepper. He uses 7/8 of the pepper and splits it between 7 pepper shakers. How much pepper will be in each shaker?

Correct answer:

x =  17/80 kg

Step-by-step explanation:

$$\begin{gathered} a=1\frac{7}{10}=1+\frac{7}{10}=\frac{1\cdot 10+7}{10}=\frac{10+7}{10}=\frac{17}{10}=1.7\text{kg} \\ b=\frac{7}{8}\cdot a=\frac{7}{8}\cdot \frac{17}{10}=\frac{7\cdot 17}{8\cdot 10}=\frac{119}{80}=1.4875\text{kg} \\ x=b/7=\frac{119}{80}/7=\frac{119}{80\cdot 7}=\frac{119}{560}=\frac{17}{80}\text{kg}=0.2125\text{kg} \end{gathered}$$

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