Question

45 degrees is used in a pie chart to represent 6 people. How many people were there altogether?

Answer 1

A pie chart is a circle. A circle has 360 degrees. If 45 degrees is 6 people, then 360/45 = x/6. Cross multiply and get 45x = 2160. Divide by 45 and get x = 48.
Simply, 360/45 is 8, so there's 8 sets of 6 people. 8 * 6 = 48.

Answer 2

45 degrees = 6 people.

For a pie chart, the total angle = 360 degrees.
 
Let the total people be = x.

Therefore   (45/360) * x  = 6.    Simplifying
                 (1/8) x        = 6.           

Therefore     x/8    =       6.

Cross multiplying:   x = 6*8 = 48 

48 People.