A professional bank heist gang is made up of one driver, one look out, and one experienced robber. After the robbery, the gang meets to divide up their loot according to their agreement. The robber takes 3/4 of the loot. The lookout takes 2/3 of what is left. The driver takes the rest.
“Hey” she says, “I only got 50 dollars! How much did we steal anyway?”
a. Answer the driver’s question. Show the mathematical representation (geometric, algebraic, numeric, etc) of the problem used to solve it. Explain your solution, including the correspondence between the elements of the problem, and the components of your representation.
b. Construct another representation of the problem and show and explain its correspondence with the representation in part a above.