A Canadian, driving in the U. S. A., fuels their car at a cost of US$3.82 per gallon (US).

The current monetary exchange rate is 0.942 US$/Can$.

The density of the fuel is 0.674 g/mL.

a) What is the mass of Can$30.00-worth of this fuel?

b) If the vehicle consumes the gasoline at a rate of 8.53 L/100 km, how many miles can it travel on the above amount of gasoline?

a) Mass of gasiline = 18.9 kg; b) distance travelled = 204 mi

a) Mass of gasoline

Step 1. Convert $CDN to $US

$US = $30.00 CDN * (0.942$US/$1 CDN) = $28.26 US

Step 2. Calculate the volume of gasoline

V = $28.26 US * (1 gal gasoline/$3.82 US) = 7.399 gal

Step 3. Convert gallons to litres

V = 7.399 gal * (3.785 L/1 gal) = 28.00 L

Step 4. Calculate the mass of the gasoline

Mass = 28 000 mL * (0.674 g/1 mL) = 18 900 g = 18.9 kg

b) Distance travelled

Step 1. Calculate the kilometres

Kilometres = 28.00 L * (100 km/8.53 L) = 328.3 km

Step 2. Convert kilometres to miles

Miles = 328.3 km * (1 mi/1.609 km) = 204 mi