Philip is going on a 40004000-kilometer road trip with three friends. The car consumes 66 liters of gas per 100100 kilometers, and gas costs \$1.50$1.50 per liter. If Philip and his friends want to split the cost of gas evenly, how much should they each pay? \$ per person

Respuesta :

Answer:

$90.

Step-by-step explanation:

We have been given that Philip is going on a 4000 kilometer road trip with three friends. The car consumes 6 liters of gas per 100 kilometers.

Let us find how many liters the car will consume per kilometer.

[tex]\text{Gas consumption by car per kilometer}=\frac{6\text{ liters}}{100\text{ km}}[/tex]

[tex]\text{Gas consumption by car per kilometer}=0.06\frac{\text{ liters}}{\text{ km}}[/tex]

Now let us find total consumption of gas for the whole trip.

[tex]\text{Gas consumption by car for the whole trip}=4000\text{ km}*0.06\frac{\text{ liters}}{\text{ km}}[/tex]

[tex]\text{Gas consumption by car for the whole trip}=240\text{ liters}[/tex]

Now let us find total cost of gas for whole trip by multiplying the number of liters gas consumed in whole trip by cost of one liter of gas.

[tex]\text{The total cost of gas for whole trip}=240\text{ liters}*1.50(\frac{Dollars}{\text{liter}})[/tex]

[tex]\text{The total cost of gas for whole trip}=360\text{ Dollars}[/tex]

Philip and his 3 friends has gone for the road trip, so the total number of people gone for road trip will be 4.

[tex]\text{Each person will pay}=\frac{360}{4}[/tex]

[tex]\text{Each person will pay}=90[/tex]

Therefore, each person will have to pay $90 to split the cost of gas evenly.