Mushrooms

Mr. Mushar collected mushrooms. One-fifth he gave to neighbors, one-third to dry, and divided the remaining mushrooms into three equal parts: himself, son, and daughter. Daughter Dominika got 42. How many mushrooms did he collect in total, and how many mushrooms did he distribute to the neighbors?

Final Answer:

n =  270
s =  54

Step-by-step explanation:

$$\begin{gathered} \frac{n}{5}+\frac{n}{3}+3\cdot 42=n \\ n/5+n/3+3\cdot 42=n \\ 7n=1890 \\ n=\frac{1890}{7}=270 \\ n=270 \end{gathered}$$

$s=n/5=270/5=54$

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