Question

If the price of gasoline is $0.400 per liter, what is its price per gallon?

Answer 1

The price per gallon of gasoline is $1.514

Explanation

The price of gasoline is given as $0.400 per liter, that is, 1 liter of gasoline costs $0.400.

We are then told to find the price per gallon of gasoline, that is, the price of 1 gallon of gasoline.

We need to first note that

1 US liquid gallon = 3.785 liters

So,

1 gallon of gasoline = 3.785 liters of gasoline

Let the price of 1 gallon of gasoline be x dollars,

1 liter of gasoline = $0.400

1 gallon of gasoline or 3.785 liters of gasoline = x dollars

We can write this properly as

1 liter of gasoline = $0.400

3.785 liters of gasoline = x dollars

We can write the equation in fractional form (x is the price per gallon)

`(0.400)/(1)=(x)/(3.785)`

We can then write a mathematical relationship for this by simply cross multiplying

1 × x = 3.785 × 0.4

x = 1.514 dollars.

Hence, the price per gallon of gasoline is $1.514

Hope this Helps!!!