Problem $3\mathrm{.}13-$ modify the following quantities in the problem statement: the plane had $7600$ L

of fuel already on board and needed $22,900kg$ at takeoff

Calculate various fuel quantities for Flight $143.$ The plane already had $7682$ L of

fuel on board prior to the flight, and the tanks were to be filled so that a total of

$22,300kg$ were present at takeoff.

$($a$)$ Using the incorrect conversion factor of $1\mathrm{.}77k\frac{g}{L},$ calculate in units of kg

the amount of fuel that was added to the plane.

$($b$)$ Using the correct factor of $1\mathrm{.}77l\frac{b}{L},$ calculate in units of kg the amount

of fuel that should have been added.

$($c$)$ By what percentage would the plane have been underfueled for its journey?

Be sure to distinguish between weight and mass quantities in your

calculations.