Question

Help! Austin's gas tank is 2/9 full. After he buys

12 gallons of gas, it is 2/3 full. How many gallons can Austin's tank hold?

Answer 1

27 gallons

let x represent a full tank, then

`(2)/(9)` x + 12 +
`(1)/(3)` x = x

multiply through by 9 to eliminate fractions

2x + 108 + 3x = 9x

5x + 108 = 9x ( subtract 5x from both sides )

108 = 4x ( divide both sides by 4 )

x = 27 ← full tank