3. Zia conducted a study of the number of coins each member of her club had in their pocket. To her surprise, nobody had zero coins and exactly seven people had only one coin each. Everybody else had at least two coins. She drew a pie chart of her results, and to her surprise found each sector had an angle which was an integer ten degrees larger than its immediate predecessor. The smallest sector in the pie chart had an angle of $35^{\circ}$. How many people are in Zia's club?
SOLUTION
72

The sector angles, measured in degrees, are $35,45,55,65,75$, and 85 , which sum to 360 . Since the smallest sector represents a frequency of seven, we know that five degrees corresponds to one member of the club.
Therefore, the number of people in Zia's club is $360 \div 5=72$.