Give the step-by-step reasoning process and then the final answer. Jean is wanted on 3 counts of arson, 2 burglary charges, and six times as many petty larceny as burglary charges. If each arson count has a 36-month sentence, each burglary charge is 18 months and each petty larceny charge is 1/3rd as long as a burglary charge, how many months in jail is Jean facing?
First find the total time for the burglary charges: 18 months / charge * 2 charges = 36 months. Then find the total time for the arson charges: 3 counts * 36 months / count = 108 months. Then find the time per larceny charge: 18 months / 3 = 6 months. Then find the total number of larceny charges: 2 charges * 6 = 12 charges. Then find the total time for the larceny charges: 6 months / charge * 12 charges = 72 months. Then add up the time for all the charges to find the total jail time: 36 months + 72 months + 108 months = 216 months.
The final answer: 216.