Deon's gas tank is (1)/(3)
full. after he buys 2
gallons of gas, it is (1)/(2)
full. how many gallons can deon's tank hold?

let's say it holds "x" gallons of gas.

how much is 1/3 of that?  well is just (1/3)x.

how about 1/2 of that?  well is just (1/2)x.

we know that

notice, we simply multiplied both sides by the LCD of all fractions, to just do away with the denominators.

use an equation of ratios to determine the amount of gas needed to fill the tank.

    0.2             0.8

  =    

288.75             x

                                                              231 gal

so, 0.2x = (0.8)(288.75 gal), and x = = 1155 gal.

                                                                0.2

it would take 1155 gal. to fill the tank.

the cost would be

1155 gal         $3

* = $3465   (answer)

      1           1 gal

hope this you