The total distance that a car can travel varies directly with the amount of gas in its tank. A certain car can travel 270 miles when its tank is ¾ full. If the car’s tank has 12 gallons in it when it is ¾ full, how far, in miles can the car travel on a full tank?
Question
The total distance that a car can travel varies directly with the amount of gas in its tank. A certain car can travel 270 miles when its tank is ¾ full. If the car’s tank has 12 gallons in it when it is ¾ full, how far, in miles can the car travel on a full tank?
Solution
To solve this problem, we need to first find out how many miles the car can travel per gallon of gas. We know that the car can travel 270 miles when the tank is ¾ full and contains 12 gallons of gas.
Step 1: Calculate the miles per gallon (mpg) when the tank is ¾ full. 270 miles ÷ 12 gallons = 22.5 miles per gallon
Step 2: Calculate the total capacity of the gas tank. Since 12 gallons represents ¾ of the tank, we can find the full capacity by dividing 12 gallons by ¾. 12 gallons ÷ ¾ = 16 gallons
Step 3: Calculate the total distance the car can travel on a full tank. 22.5 miles per gallon x 16 gallons = 360 miles
So, the car can travel 360 miles on a full tank.
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