Cranberries

They brought 65 kg of dried cranberries to the packing house. They made 150-gram and 200-gram packages from them. How many kilograms of cranberries did they use for the smaller 200 packages? How many 200-gram packages were there?

Correct answer:

a =  30 kg
n₂ =  175

Step-by-step explanation:

$$\begin{gathered} m_1=150\text{g}\to \text{kg}=150:1000\text{kg}=0.15\text{kg} \\ {m}_2=200\text{g}\to \text{kg}=200:1000\text{kg}=0.2\text{kg} \\ {n}_1=200 \\ a=n_1\cdot m_1=200\cdot 0.15=30\text{kg} \end{gathered}$$

$$\begin{gathered} m_1\cdot n_1+m_2\cdot n_2=65 \\ 0.15\cdot 200+0.2\cdot n_2=65 \\ 0.2n_2=35 \\ {n}_2=\frac{35}{0.2}=175 \\ {n}_2=175 \end{gathered}$$

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