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24-07-2018
Mathematics

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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?

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24-07-2018

[tex]\frac 1 6 t + 14 = \frac 3 4 t[/tex]

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

[tex]t = \frac{12}{7} (14) = 24[/tex]

Answer: 24 gallons

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

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