B1. Petra found an attractive offer for her vacation in a tourist catalog. The promotional offer read: "When you buy a seven or more day package, we will give you two days of vacation for free." Petra chose accommodation from the catalog for $50 €$ per day.

(a) How much would she pay for a five-day arrangement?

(b) How many days of the arrangement did Petra choose if, considering the promotional offer, she paid only $40 €$ per day? How much did she pay for the arrangement?

(c) At dinner, Petra had ice cream, four types of pastries, and two types of fruit salads available for dessert. In how many ways could she choose a dessert, if it consisted of ice cream, a pastry, and a fruit salad?

(d) On the third day of her vacation, Petra rented a boat. There were two offers available. The first option was to pay $14 €$ per day for the rental. The second option was to pay $3.5 €$ per hour for the rental. For at least how many hours of rental would the first option be more cost-effective than the second?

(e) Petra spent her vacation in an apartment complex that offered two-bed and three-bed apartments. There were a total of 60 apartments with 152 beds. How many two-bed and how many three-bed apartments were there in this complex?
B1. Petra would pay for a 5-day arrangement $5 \cdot 50=250 €$.

Let the unknown number of days of the arrangement be $n$. We write the equation $n \cdot 50 - 2 \cdot 50 = n \cdot 40$. The solution to the equation is $n=10$. Petra paid for a 10-day arrangement $10 \cdot 40=400$.

Petra could have put together her dessert in $1 \cdot 4 \cdot 2=8$ ways.

Let the unknown number of hours be $n$. The inequality that fits the solution is $144$.

Let the number of double-bed apartments be $d$, and the number of triple-bed apartments be $t$. We set up a system of two equations with two unknowns:

$$
\begin{aligned}
2 d+3 t & =152 \\
d+t & =60
\end{aligned}
$$

The solutions to the system are $t=32$ and $d=28$.

(a) Calculation of the amount for a 5-day arrangement $250 €$

(b) Calculation or determination that Petra chose a 10-day arrangement. ................................ 1 t $\qquad$
(c) Answer, e.g.: Petra could have chosen her dessert in 8 ways. ................................. 1 t
(d) Calculation or determination that after 5 hours, daily rental is more cost-effective than hourly rental.

(e) Calculation or explanation that there were 28 double-bed and 32 triple-bed apartments in the village. $2 \mathrm{t}$