SOLUTION: You fill your car's gas tank when it is about 1/2 empty. The next week, you fill the tank a second time when it is about 3/4 empty. If you buy a total of 18 1/2 gallons of gas on t

Algebra ->  Equations -> SOLUTION: You fill your car's gas tank when it is about 1/2 empty. The next week, you fill the tank a second time when it is about 3/4 empty. If you buy a total of 18 1/2 gallons of gas on t      Log On


   



Question 107508This question is from textbook Algebra 1
: You fill your car's gas tank when it is about 1/2 empty. The next week, you fill the tank a second time when it is about 3/4 empty. If you buy a total of 18 1/2 gallons of gas on these two days, about how many gallons does that tank hold? This question is from textbook Algebra 1

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
You fill your car's gas tank when it is about 1/2 empty. The next week, you fill the tank a second time when it is about 3/4 empty. If you buy a total of 18 1/2 gallons of gas on these two days, about how many gallons does that tank hold?
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Let x-gallons be the tank capacity.
1st Buy: (1/2)x gallons
2nd Buy: (3/4)x gallons
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EQUATION:
(1/2)x + (3/4)x = 18 1/2
(5/4)x = 37/2 = 74/4
5x = 74
x = 14.8 gallons (tank capacity)
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Cheers,
Stan H.