Answer: 11.1774194 gallons of gas
Explanation: To solve this problem, our first step is to write down the unit ratio that is involved. In this case, it's miles traveled/gallons of gas.
Next, we set up a proportion based
on the information in the problem.
We know that a car gets 62 miles for every 3 gallons so we have 62/3 and we're asked how many gallons of gas
will it use to travel 231 miles so that's 231/x.
Notice that the 231 miles must go on top in the second ratio
because our unit ratio tells us that we put miles over gallons.
Solving from here, we use the means-extremes property which states that the product of the extremes, (62)(x) equals the product of the means, (3)(231).
So we have the equation 62x = 693.
Now, dividing both sides of the equation
by 63, we find that x = 11.1774194.
This means that the car will use 11.1774194
gallons of gas to travel 231 miles.
