Question 815622: [ The weight of a plane is 2662 pounds when it has 25 gallons of fuel, and 2560 pounds when it has 8 gallons of fuel. Write an equation relating the plane's weight (w), to the NUMBER of gallons of fuel (g). Then, use the equation to find out the weight of the plane without any fuel on board. ]
Answer by TimothyLamb(4379)   (Show Source):
You can put this solution on YOUR website! weight of (25 - 8 = 17 gallons) of fuel:
2662 - 2560 = 102 lbs
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density of fuel (weight per gallon):
D = 102/17 = 6 lbs/gallon
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Answer 1:
the airplane weight equation:
w = 6g + E
where E is the airplane empty weight
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Answer 2:
airplane empty weight:
w = 6g + E
2560 = 6(8) + E
E = 2560 - 6(8)
E = 2560 lbs - (6 lbs/gal * 8 gal)
E = 2512 lbs
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Answer 3:
the airplane weight equation, now complete:
w = 6g + 2512
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