## 261. Math Puzzle $2 / 87$

The pioneers of class 6a are going on a group trip over the weekend. If each participant pays 12 marks, there will be a surplus of 33 marks compared to the required total amount. If each pays 10 marks, however, 11 marks will be missing. How many people are participating in the trip? How much does each person have to pay?
Number of participants $=x$, Total amount $=y$, Individual price $=z$

$$
y=x \cdot 12 \mathrm{M}-33 \mathrm{M} \quad, \quad y=x \cdot 10 \mathrm{M}+11 \mathrm{M}
$$

with $x=22$. There are 22 people participating in the trip.

$$
y=x \cdot 12 \mathrm{M}-33 \mathrm{M}=22 \cdot 12 \mathrm{M}-33 \mathrm{M}=231 \mathrm{M}
$$

The total amount is $231 \mathrm{M}$.

$z=y: x=231: 22=10.50 \mathrm{M}$, each participant has to pay 10.50 Mark.