Car rent

Rental cars are paid a fixed daily fee plus 16 cents per kilometer traveled. Samuel wants to rent a car for a day and work out, which will cost 175 euros. When paying, he got a 20% discount on the daily fee, and the cost per kilometer was unchanged. Samuel, therefore, paid only 160 euros.

a) What was the total discount in euros?
b) What was the original price of the daily fee?
c) How many kilometers does Samuel travel?

Final Answer:

a =  15 Eur
b =  75 Eur
c =  625 km

Step-by-step explanation:

$$\begin{gathered} 175=b+0.16c \\ 160=b-a+0.16c \\ a=0.2b \\ 175=b+0.16c \\ 160=0.8b+0.16c \\ 175-160=b-0.8b \\ b=\frac{15}{0.2}=75 \\ a=0.2\cdot b=0.2\cdot 75=15\text{Eur} \end{gathered}$$

$c=(175-b)/0.16=(175-75)/0.16=625\text{km}$

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