Gas, lpg and diesel

Calculate how much it costs to drive 35000 km by car:

a) a car with a consumption of 8l/100 km of LPG for 60 cents
b) 7l/100 km of petrol for 1.33 euros
c) 6 l/100 km of diesel for 1.2 euros. Calculate what is cheaper.

Correct result:

a =  1680 Eur
b =  3258.5 Eur
c =  2520 Eur

Solution:

$$\begin{gathered} s=35000\text{ km } \\ {n}_1=s\mathrm{/}100\cdot 8=35000\mathrm{/}100\cdot 8=2800\text{ l } \\ a=0.60\cdot n_1=0.60\cdot 2800=1680\text{ Eur} \end{gathered}$$

$$\begin{gathered} n_2=s\mathrm{/}100\cdot 7=35000\mathrm{/}100\cdot 7=2450\text{ l } \\ b=1.33\cdot n_2=1.33\cdot 2450={\displaystyle \frac{6517}{2}}={\displaystyle \frac{6517}{2}}\text{ Eur}=3258.5\text{ Eur} \end{gathered}$$

$$\begin{gathered} n_3=s\mathrm{/}100\cdot 6=35000\mathrm{/}100\cdot 6=2100\text{ l } \\ c=1.2\cdot n_3=1.2\cdot 2100=2520=2520\text{ Eur } \\ a<c<b \\ LPG<DIESEL<PETROL \end{gathered}$$

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