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KEVIN'S GAS TANK IS 1/6 FULL. AFTER HE BUYS 14 GALLONS OF GAS, IT IS 3/4 FULL. HOW MANY GALLONS CAN KEVIN'S TANK HOLD?

User Mbaxi
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1 Answer

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\frac 1 6 t + 14 = \frac 3 4 t



14 = (\frac 3 4 - \frac 1 6)t = (\frac 9{12} - (2)/(12)) t = \frac {7}{12} t



t = (12)/(7) (14) = 24


Answer: 24 gallons


Check: (1/6)24=4, 4+14=18, 18/24=3/4, good


User Erion S
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