1. If Živa gives her sister Zarja five apples less than half of all she has, and to her brother Jakob a third of the remainder, she ends up with six more apples than a seventh of all she had at the beginning. How many apples does Jakob get?
1. Ziva has $n$ apples. She gives Zarji $\frac{n}{2}-5$, and Jakob $\frac{n-\left(\frac{n}{2}-5\right)}{3}$. Since she is left with $\frac{n}{7}+6$, we get the equation $n-\left(\frac{n}{2}-5\right)-\frac{n-\left(\frac{n}{2}-5\right)}{3}=\frac{n}{7}+6$. The solution to the equation is $n=14$. Jakob gets 4 apples.

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Solving the equation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 point

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Answer: Jakob gets 4 apples.......................................................................................