Question

How much will it cost in American dollars(USD) to fill a 15 gallon tank of gasoline in Canada, if the price of gasoline there is $1.07 Canadian dollars (CAD) per liter. The current exchange rate is ($1.00(USD)= $1.34(CAD), 1 L=1.06 qts, 1.61 Km= 1 Mile, 1 gal= 4 qts]​

Answer 1

Answer:

It will cost 45.37 US dollars (USD) to fill a 15 gallon gas tank in Canada.

Explanation:

Two values ​​are directly proportional when when one value increases, the other increases in the same proportion, or when one value decreases, the other decreases in the same proportion.

The rule of three makes it possible to solve proportionality problems effectively and quickly. It is a method of calculating an unknown value that is directly proportional to another known value.

Then, knowing the data a, b and c, and the fourth unknown data x, which will be the unknown to be solved, this value is calculated as:

a ⇒ b

c ⇒ x

So: $x=\frac{c*b}{a}$

You must calculate the cost in US dollars (USD) to fill a 15 gallon gas tank in Canada. You know that the price of gasoline is $1.07 Canadian dollars (CAD) per liter. If 1 L equals 1.06 qts, then you can say that the price of gasoline is $ 1.07 Canadian dollars (CAD) per 1.06 qts.

You can now apply a rule of three as follows: if 4 qts is equal to 1 gal, 1.06 qts is equal to how much gal is?

$gal=\frac{1.06 qts*1 gal}{4 qts}$

gal= 0.265

Then you can say that the price of gasoline is $ 1.07 Canadian dollars (CAD) per 0.265 gal.  So you can apply the following rule of three: if 0.265 gal costs $ 1.07 Canadian dollars (CAD), 15 gal how many Canadian dollars cost?

$CAD=\frac{15 gal*1.07 CAD}{0.265 gal}$

CAD= $60.8 CAD

Finally, you can apply the following rule of three: if $ 1.34 (CAD) is equal to $ 1.00 (USD), $ 60.8 (CAD) is equal to how many US dollars (USD)?

$USD=\frac{60.8 CAD*1USD}{1.34 CAD}$

USD=   45.37

It will cost 45.37 US dollars (USD) to fill a 15 gallon gas tank in Canada.