Respuesta :
Answer:
The number of barrels of crude oil required to run the car for a year is 52.9 barrels of crude oil
Explanation:
The information given are as follows;
Percentage of crude oil processed into gasoline = 45%
Distance achieved per gallon by car = 36 mi/gal
Distance driven per year = 36,000 miles
[tex]Gasoline\, usage \, in \, one \, year = \dfrac{Distance \ driven\ per \ year }{Distance\ achieved \ per gallon \ by \ car } = \dfrac{36000\, miles}{36\, miles/gallon}[/tex][tex]\dfrac{36000\, miles}{36\, miles/gallon} = 1000 \, gallons[/tex]
∴ Gasoline usage in one year = 1,000 gallons
Percentage of crude oil processed into gasoline = 45%
Hence, where 45% of the crude oil produces 1000, the volume of crude, x, from which the gasoline is sourced becomes;
x × 45/100 = 1000 gallons
x =100 × 1000/45 = 20000/9 gallons of crude
1 barrel of crude oil is approximately 42 gallons of crude oil
∴ 20000/9 gallons of crude = 20000/(9×42) barells of crude = 10000/
Which gives;
[tex]52\tfrac{172}{189} \, barrels \, of \, crude \, oil[/tex]
Which is 52.9 barrels of crude oil
Hence the number of barrels of crude oil required to run the car for a year = 52.9 barrels of crude oil.
