Try to solve these math problems about the mysteries of Machu Picchu.
1.  One theory about Machu Picchu says that the society might have survived for many more centuries, but the small pox, a foreign disease killed about 50 percent of their population around the year 1527.  The 1000 who remained could not handle the responsibility of maintaining such a conplex area with so few people.  They were forced to abandon their home.  What was the population of Machu Picchu before the disease?
2.  The Spanish invaded the Incas around the year 1532.  An American called Hiram Bingham discovered the city of Machu Picchu in 1911.  Estimate how long this city remained lost.

a) 300 years
b) 400 years
c) 500 years
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