Question 985257
She starts with some p dollars and splits it into different parts, some for investing and some for the bank account.


She invests {{{p/4+p/5+p/6}}} dollars and has 32000 put into the bank.


{{{highlight_green(p=(p/4+p/5+p/6)+32000)}}}, or the sum of all portions of the money is equal to the whole amount p with which she starts.


L.C.D. is {{{2*2*3*5=60}}}.  You can make your first step:
  

{{{p-(p/4+p/5+p/6)=32000}}}