Using proportions, it is found that:
a. The car has enough fuel to drive 119.8 km, hence your brother is right.
b. It will take 52.8705 liters to fill up the car, and it will cost $43.5.
What is a proportion?
A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
For this problem, we have that the tank has one fourth of 18.6 gallons, and the car gets 16 miles per gallon = 16 x 1.61 = 25.76 kilometers per gallon at most, hence the farthest distance the car can drive is:
0.25 x 18.6 x 25.76 = 119.8 km.
Hence, for item a:
The car has enough fuel to drive 119.8 km, hence your brother is right.
In item b, to fill the car now, the number of gallons needed is:
0.75 x 18.6 = 13.95 gallons.
Applying the conversion rate, the number of liters is:
13.95 x 3.79 = 52.8705.
Applying the cost per liter, and the conversion from Canadian dollars to US dollars, the cost is:
52.8705 x 1.069/1.3 = 43.5.
It will take 52.8705 liters to fill up the car, and it will cost $43.5.
More can be learned about proportions at https://brainly.com/question/24372153
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