Ok the question is: A resistor (resistance=R) is connected first in parallel and then in series with a 2.00 ohm resistor. A battery delivers five times as much current to the parallel combination as it does the series combination. Determine the two possible values for R. So let's see: I can use I=V/R For series it's I=V/(R+2) For parallel it's 5I=V/(1/R+1/2ohm) Ok, now I equate the Currents (I) and I get V/(R+2)=V/5(1/R+1/2). I can cancel out the V's and I'll have: Now I solve for R? Am I on the right track?