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:

$s=35000 \ \text{km} \ \\ n_{1}=s/100 \cdot \ 8=35000/100 \cdot \ 8=2800 \ \text{l} \ \\ a=0.60 \cdot \ n_{1}=0.60 \cdot \ 2800=1680 \ \text{Eur}$

$n_{2}=s/100 \cdot \ 7=35000/100 \cdot \ 7=2450 \ \text{l} \ \\ b=1.33 \cdot \ n_{2}=1.33 \cdot \ 2450=\dfrac{ 6517 }{ 2 }=3258.5 \ \text{Eur}$

$n_{3}=s/100 \cdot \ 6=35000/100 \cdot \ 6=2100 \ \text{l} \ \\ c=1.2 \cdot \ n_{3}=1.2 \cdot \ 2100=2520 \ \text{Eur} \ \\ \ \\ a<c<b \ \\ LPG<DIESEL<PETROL$

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