Question

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?

Answer 1

`\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