In September 2016, the cost of gasoline in Berlin was around 1.2 euros per liter. What would the equivalent cost be in U.S. dollars per gallon?

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nspinellapee01a nspinellapee01a · Answer 1 · 2018-09-01T19:33:45+02:00

I got 46.644 but I don't know if I got it right.

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facundo3141592 facundo3141592 · Answer 2 · 2021-09-17T16:35:13+02:00

Here we need to perform two changes of units, from euros to dollars and from liter to gallons.

We will find the relation:

€1.2 /L = $5.318 /gal

What we know is:

In Berlin, the cost of gas is 1.2 euros per liter, or:

€1.2 /L

Now we need to use the two relations:

1 L = 0.264 gal

€1 = $1.17

Then we can use the second relation to rewrite:

1 = ($1.17)/(€1)

This is equal to 1, then we can multiply €1.2 /L by this, and it would not change the price, will only change the units.

€1.2 /L = (€1.2 /L)*($1.17)/(€1) = $1.404 /L

Now we can use the other relation to write:

1 = (1L)/( 0.264 gal)

Now we multiply our value by this:

$1.404 /L = $1.404 /L* (1L)/( 0.264 gal) = $5.318 /gal

This means that the cost of one gallon of gasoline is $5.318

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