Final answer:
It would take 3.625 gallons of gasoline to fill a 14.5-gallon tank that is already 3/4 full.
Step-by-step explanation:
The question asks how many gallons of gasoline are needed to fill a 14.5-gallon tank that is already 3/4 full. To find the amount needed to fill the tank, we first determine how much gasoline is currently in the tank by multiplying 14.5 gallons by 3/4:
14.5 gallons × 3/4 = 10.875 gallons
This means that there are 10.875 gallons of gasoline in the tank at the moment. To find out how much more gasoline is needed to fill the tank, we subtract this amount from the tank's total capacity:
14.5 gallons - 10.875 gallons = 3.625 gallons
Therefore, it would take 3.625 gallons of gasoline to fill the tank.