A car has a 15 gallon gas tank. If a car gets 32 miles per gallon and travels 384 miles, how much gas will be left in the tank? 12 6 3 4

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A car has a 15 gallon gas tank. If a car gets 32 miles per gallon and travels 384 miles, how much gas will be left in the tank? 12 6 3 4

Mathematics
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|dw:1436724497631:dw|
first calculate the amount of gas used this equals:- miles travelled */ 32

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then subtract this value from 15
* thats miles travelled / 32
The first thing that we need to do there is to figure out how much fuel the car will use on its journey. We're told that the car will cover 32 miles per gallon of fuel used: \[32 miles = 1 gallon\] That mans that: \[1 mile = \frac{ 1 }{ 32}gallons\] Our trip is 384 miles, so: \[384 miles = (\frac{ 1 }{ 32 })(384)gallons\] which I'll let you work out for yourself. So, given that we know how many gallons of fuel will be used, and we're assuming that the 15 gallon fuel tank is full at the start of the journey, we can subtract our fuel usage from 15 to find our how much will be left in the tank upon arrival. \[FuelRemaining = 15 gallons - ((\frac{ 1 }{ 32 })(384))gallons\]
The answer is we don't know because we were not told how much gas was in the tank. If we assume the tank was full with 15 gallons of gas, then do this: \(\dfrac{384~miles}{32 \frac{miles}{gallon} } = \_\_\_\_~ gallons\) \(15~gallons - \_\_\_\_ ~gallons = your ~answer\)

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