Manuel's gas tank is

2/9

full. After he buys

12

gallons of gas, it is

2/3

full. How many gallons can Manuel's tank hold?

X represents the full tank

so 2/9x+12=2/3x

solve for x

2/9x+12=2/3x

try to convert 2/3 to a commom denomenator (bottom numer)

2/3=6/9

2/9x+12=6/9x

subtract 2/9x from both sides

12=4/9x

mulitply both sides by 9 to get rid of fraciton

108=4x

divide by 4

27=x

it can hold 27 gallons