Final answer:
After driving 200 miles on two-thirds of a tank of gas, one can calculate that a full tank would allow for 300 miles of driving. This is done by finding one-third of the distance (100 miles) and adding it to 200 miles.
Step-by-step explanation:
To determine how far one can drive on a full tank of gas when we know that 200 miles uses two-thirds of a tank, we must first establish the distance covered per tank. If two-thirds of a tank is used for 200 miles, then one full tank (which is one-third more than two-thirds) would cover one-third more distance.
To find out one-third of 200 miles, we divide 200 by 2, which is 100 miles. Since two-thirds is 200, one-third would be 100 miles. Adding that 100 miles to the initial 200 miles gives us the total distance that can be driven on a full tank.
So, if 200 miles is two-thirds of a tank, then 300 miles (200 miles + 100 miles) is a full tank. Therefore, you can drive 300 miles on a full tank of gas.