Question

Gas in Canada costs $0.78 (in US dollars) per liter. Trent's car gets 27 miles to the gallon.About how much will it cost Trent to drive 825 miles if he buys all his gas in Canada?Round your answer to the nearest US dollar.

Answer 1

Given:

cost of gas = $0.78/litre

For each 27 miles Trent's car travels, it would need a gallon

Distance covered = 825 miles

The number of gallons of gas needed to travel 825 miles:

`\begin{gathered} =\text{ }\frac{825\text{ miles}}{27\text{ miles/gallon}} \\ =\text{ }30.56\text{ gallon} \end{gathered}`

Recall that :

`1\text{ litre = 0.264 gallon}`

Hence the volume of gas required in liters:

`\begin{gathered} =\text{ 30.56 gallon }*\frac{1\text{ litre}}{0.264\text{ gallon}} \\ =\text{ }115.76\text{ litre} \end{gathered}`

The amount of US dollars is thus:

`\begin{gathered} =\text{ 115.76 litres }*\frac{\text{ \$0.78}}{litre}\text{ } \\ =\text{ \$ 90.29} \\ \approx\text{ \$ 90} \end{gathered}`

It would cost Trent $90 to drive 825 miles