you know that the gas tank of your car holds 20 gallons of gas and the guage reads ¼ full. How many gallons will be needed to fill the tank. If the price of gas is $3.10 per gallon and you have $40, do you have enough cash to fill the tank? How much extra money do you have or how much are you short?
¼ tank =¼ * 20 = 5 gallons
so you still need 15 gallons
you know that 3*15 = 45, already more than you have available, so ...
you will be short 15*3.10 - 40
To calculate how many gallons will be needed to fill the tank, we need to determine ¾ of the tank capacity since the gauge reads ¼ full.
First, we find the amount of gas that is missing from the tank:
Missing gas = ¾ * Tank capacity
Tank capacity = 20 gallons
Missing gas = ¾ * 20 = 15 gallons
Therefore, 15 gallons of gas will be needed to fill the tank.
To determine if you have enough cash to fill the tank, we'll calculate the cost of the required gas.
Cost of gas = Price per gallon * Number of gallons needed
Price per gallon = $3.10
Number of gallons needed = 15
Cost of gas = $3.10 * 15 = $46.50
Since the cost of gas is $46.50 and you only have $40, you are short by $6.50.
To find the extra money you would need to have exactly the right amount, subtract the cost of gas from your cash:
Extra money = Cash - Cost of gas
Extra money = $40 - $46.50 = -$6.50
Therefore, you are short by $6.50.