Question 13288
Since the car costs $24,416 with everything, you know that is the base price (B) added to the major options package (M) price and the destination charge (D).  This equation can be written as {{{B+M+D = 24416}}}.  Your other equations can be written as {{{B = 10M}}} and {{{B = 50D}}}.

To solve, you need to first solve the last two equations for M and D.  These change to {{{(1/10)B = M}}} and {{{(1/50)B = D}}}.  This will be easier if you change those fractions to decimals, to get {{{.1B = M}}} and {{{.02B = D}}}.  Now you can plug these into the first original equation to change it to {{{B + .1B + .02B = 24416}}}.  Combine like terms to get {{{1.12B = 24416}}}.  Solve by dividing, to get B = 21,800.  This is the base price for the car.