A Florida tourist traveled to Saskatchewan to enjoy the great northern fishing. His camper van holds 43 gallons.He gets to Prince Albert and realizes his fuel gauge shows 3/5 left in the tank. If gas costs $1.44 a litre how much will it cost him to fill his tank? Gas pumps measure in hundredths of a litre?
Question
A Florida tourist traveled to Saskatchewan to enjoy the great northern fishing. His camper van holds 43 gallons.He gets to Prince Albert and realizes his fuel gauge shows 3/5 left in the tank. If gas costs $1.44 a litre how much will it cost him to fill his tank? Gas pumps measure in hundredths of a litre?
Solution
Sure, let's break this down step by step:
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First, we need to find out how much fuel is left in the tank. The fuel gauge shows 3/5 left in the tank. So, we multiply the total capacity of the tank by 3/5: 43 gallons * 3/5 = 25.8 gallons.
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Next, we need to find out how much fuel he needs to fill his tank. We subtract the amount of fuel left in the tank from the total capacity: 43 gallons - 25.8 gallons = 17.2 gallons.
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Now, we need to convert this amount from gallons to liters because the gas price is given per liter and gas pumps measure in liters. We know that 1 gallon is approximately 3.78541 liters. So, 17.2 gallons * 3.78541 = 65.09 liters.
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Finally, we can calculate the cost to fill his tank. We multiply the amount of fuel needed in liters by the cost per liter: 65.09 liters * 93.73.
So, it will cost him approximately $93.73 to fill his tank.
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