## 257. Math Puzzle 10/86

At the air rifle shooting during the Pioneer afternoon, Marion took third place. Katrin came in first, scoring four rings more than Marion and two rings more than Jeanette.

Marion achieved 4/5 of the total possible rings. If you add the rings scored by the three girls, you get two and a half times the theoretically best possible individual score.

What would it be? What ring numbers did the three girls achieve?
Let $n$ be the number of rings that a shooter could achieve at most. Since $\frac{4}{5} n$ fell on Marion, $\frac{4}{5} n+4$ on Katrin, and $\frac{4}{5} n+2$ on Jeanette.

Summarized: $\frac{12}{5} n+6=\frac{5}{2} ; n=60$

Theoretically, each shooter could achieve 60 rings. Katrin achieved 52, Jeanette 50, and Marion 48 rings.