Question

My local bus company has recently expanded and no longer has enough room for all of its buses. Twelve of their buses have to be stored outside. If they decide to increase their garage space by 40%, this will give them enough room for all of their current buses, plus enough room to store another twelve in the future. How many buses does the company currently own?

Answer 1

Let there be N buses in total.  let each bus take a surface area of A.

the current area of garage = (N - 12) A
increase in area = 40/100 * (N-12) A  =  12 A  + 12 A
  
   => 4 (N - 12 ) = 240        => N = 72

so the company owns 72 buses at the moment.