If a car can drive 62 miles on 3 gallons of gas, how many gallons of gas will it use to travel 231 miles?

x =11.17741935 gallons

Step-by-step explanation:

We can use a ratio to solve

62 miles    231 miles

    =

3 gallons      x gallons

Using cross products

62x = 231 *3

62x =693

Divide each side by 62

62x/62 = 693/62

x =11.17741935 gallons

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.