Let a,b,c,d,e be non-negative real numbers such that a+b+c+d+e>0. What is the least real number t such that a+c=tb, b+d=tc, c+e=td?<spanclass=′latex−bold′>(A)</span>22<spanclass=′latex−bold′>(B)</span>1<spanclass=′latex−bold′>(C)</span>2<spanclass=′latex−bold′>(D)</span>23<spanclass=′latex−bold′>(E)</span>2