## Task 2 - 280622

Mrs. Müller and her daughter Michaela, Mrs. Beyer and her sons Jan and Gerd, as well as Mrs. Schulz with her children Steffi and Jens are visiting an event together. Mrs. Müller buys the entrance tickets for everyone and pays 22 Marks.

How much money do Mrs. Beyer and Mrs. Schulz have to give to Mrs. Müller to pay for the entrance tickets for themselves and their children, if Michaela, Jan, Gerd, Steffi, and Jens each had to pay only half the entrance fee compared to an adult?
Mrs. Müller buys admission tickets for 3 adults and 5 children. Since children only pay half the price, Mrs. Müller pays (because $3 \cdot 2=6$ and $6+5=11$) as much for admission as she would for 11 children. It follows from $22: 11=2$ that 2 marks have to be paid for each child.

Since $2 \cdot 2=4$, the admission for an adult costs 4 marks. Thus, Mrs. Beyer has to pay (because $1 \cdot 4 + 2 \cdot 2=8$) 8 marks to Mrs. Müller, as does Mrs. Schulz.