May 15, 2012

Problem of the Week

for Tuesday, May 15, 2012

Proposed by Alex J. and Charlotte Ka. in the 7th grade

I have a farm on which each day 1 pig leaves, every 4 days 2 pigs come back, every 9 days 3 additional pigs leave, every 16 days 4 additional pigs return, every 25 days 5 additional pigs leave, and every 36 days, 6 additional pigs return. If I start with 200 pigs, in how many days will there be no pigs left on the farm?