Question

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?

Answer 1

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