Question 210463
Archie's gas tank is 1/3 full. If Archie adds 3 gallons of gas to the tank it will be 1/2 full. 
what is the capacity in gallons of Archie's tank?
:
Let x = tank capacity
:
Write an equation for what it says:
{{{1/3}}}x + 3 = {{{1/2}}}x
:
Multiply each term by 6 to get rid of the denominators. results:
2x + 6(3) = 3x
18 = 3x - 2x
x = 18 gal tank