Dimensional Analysis
You drive up to Canada and notice that gas costs $1.31 per liter. The Canadian dollar is worth U.S. $1.02. How much will it cost you to fill up your 12 gallon tank? What is the price per gallon up in Canada?

You want to know the cost per gallon of gas and the cost for 12 gallons of gas when the cost per liter is $1.31 CDN and the exchange rate is $1.02 USD per CAD.

Cost per gallon

The conversion between liters and gallons is ...

1 US gallon = 3.785411784 liters (exactly)

Then the cost conversion is ...

[tex]\dfrac{\$1.31\text{ CAD}}{1\text{ L}}\times\dfrac{3.785411784\text{ L}}{1\text{ gal}}\times\dfrac{\$1.02\text{ USD}}{\$1.00\text{ CAD}}\approx\boxed{\$5.058\text{ USD/gal}}[/tex]

The cost per gallon in terms of US dollars is about $5.06.

Cost per tank

The cost for 12 gallons will be ...

(12 gal)×($5.058 /gal) ≈ $60.70

It will cost you $60.70 to fill your 12 gallon tank.

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Additional comment

The price of gas is routinely specified to tenths of a cent, both in the US and in Canada. As of today, the cost of gas in Canada has declined to $1.864 CAD/liter. At today's exchange rate of about $0.77 USD per CAD, the equivalent price is $5.406 USD/gal.

Dimensional Analysis You drive up to Canada and notice that gas costs $1.31 per liter. The Canadian dollar is worth U.S. $1.02. How much will it cost you to fill up your 12 gallon tank? What is the price per gallon up in Canada?

Respuesta :

Cost per gallon

Cost per tank

Otras preguntas

Dimensional Analysis
You drive up to Canada and notice that gas costs $1.31 per liter. The Canadian dollar is worth U.S. $1.02. How much will it cost you to fill up your 12 gallon tank? What is the price per gallon up in Canada?