# Mr. Brady's new car get sixty miles to the gallon. In the metric system gas consumption is measured in liters per 100 kilometers, how do you make the conversion?

##### 1 Answer
Oct 21, 2016

Gas consumption is $100$ kilometers to $3.92$ liters

#### Explanation:

To convert gas consumption from miles per gallon to liters per $100$ kilometers, we should first know

(1) the relation between gallon and liters - this is $1$ gallon is equal to $3.78541$ liters and

(2) relation between miles and kilometers - this is $1$ gallon is equal to $1.60934$ kilometers.

Hence $60$ miles to $1$ gallon is equivalent to

$60 \times 1.60934$ kilometers to $3.78541$ liters

or $1$ kilometers to $\frac{3.78541}{60 \times 1.60934} = 0.0392$ liters

or $100$ kilometers to $0.0392 \times 100 = 3.92$ liters