## Task 8 - V00508

Three friends are sitting in a restaurant. Each has to pay 10 DM. That's a total of 30 DM. However, the innkeeper instructs the waiter to return 5 DM to the guests.

The waiter, however, gives each guest only 1 DM back, so a total of 3 DM, and keeps 2 DM for himself. The friends have therefore paid a total of 27 DM for the bill. The waiter kept 2 DM. That makes 29 DM.

Where is the missing Mark?
Each guest had to pay $(30-5): 3=8 \frac{1}{3} \mathrm{DM}$, but paid $(30-3): 3=9 \mathrm{DM}$, which is $\frac{2}{3} \mathrm{DM}$ too much.

This amounts to $\frac{2}{3} \cdot 3=2 \mathrm{DM}$, which the waiter kept for himself. The reference to the remaining $1 \mathrm{DM}$ is a misdirection.