Finding the currrent of the circuit

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Homework Statement


What is the current in the circuit shown in the figure for the following? (Let R = 1 Ω and V = 12 V. Calculate the total current drawn from the battery.)
http://www.webassign.net/bauerphys1/25-p-048-alt.gif

1. what is the current when the switch is closed



The Attempt at a Solution


i had to find the current when the switch is open which is easy because it's just two series which are parallel which turn into one series

but when it's closed it is really confusing I've tried to do it several ways but i cannot determine which way i can do it. i tried adding the R1 and 5 ohms first using parallel but it wouldn't work. can you tell me a way to add the resistors?
thank you
 
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When it's closed, the bottom R and 1 are in parallel. Same as top R and 5. Then add up their resistances.