Sophie

Sophie filled a bag with 2 and 2/3 kilograms of candy, 1/4 of the weight of the candy was from chocolate-covered pretzels. How much did the chocolate-covered pretzels in Sophie's bag weigh?

Correct answer:

m =  2/3 kg

Step-by-step explanation:

$$\begin{gathered} b=2\frac{2}{3}=2+\frac{2}{3}=\frac{2\cdot 3+2}{3}=\frac{6+2}{3}=\frac{8}{3}\doteq 2.6667\text{kg} \\ m=\frac{1}{4}\cdot b=\frac{1}{4}\cdot \frac{8}{3}=\frac{1\cdot 8}{4\cdot 3}=\frac{8}{12}=\frac{2}{3}\text{kg}=0.6667\text{kg} \end{gathered}$$

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