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

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

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

$t = \frac{12}{7} (14) = 24$

Answer: 24 gallons

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

Answer 2

This is the answer right here!