SOLUTION: If a car starts out with 1/3 tank of gas and 10 gallons were added to put the tank at 3/4 how many more gallons would it take to fill the car up?

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Question 646247: If a car starts out with 1/3 tank of gas and 10 gallons were added to put the tank at 3/4 how many more gallons would it take to fill the car up?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = the number of gallons
to fill the tank
The car starts with
+%281%2F3%29%2Ax+%2B+10+=+%283%2F4%29%2Ax+
Multiply both sides by +12+
+4x+%2B+120+=+9x+
+5x+=+120+
+x+=+24+
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The tank is 3/4 full, so 1/4 of a tank will fill it
+%281%2F4%29%2A24+=+6+
6 more gallons will fill the tank