Final answer:
To find the amount of fuel in the truck driver's fuel tank, we can use the fact that he overestimated the contents of the tank by 16%. By setting up an equation with x as the unknown actual amount of fuel, we can solve for x using 1.16x = 100. The actual amount of fuel in the tank is approximately 86.21 gallons.
Step-by-step explanation:
To find the amount of fuel in the truck driver's fuel tank, we can use the fact that he overestimated the contents of the tank by 16%. Let's assume x represents the actual amount of fuel in the tank.
Since the driver overestimated the tank's contents, he thought he had 100 gallons of fuel remaining. Therefore, his estimate was 16% higher than the actual amount, which can be expressed as 1.16x = 100. Now we can solve for x:
x = 100 / 1.16
Using a calculator, we find that the actual amount of fuel in the tank is approximately 86.21 gallons.