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?

asked Mar 15, 2019 136k views

4 votes

by Mbaxi

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6 votes

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

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

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

Answer: 24 gallons

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

Erion S answered Mar 21, 2019

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