The pie chart above represent the total population of a school of 1,200. The shaded area of 60∘ shows the population of the underaged pupils. What is the po...

The pie chart above represent the total population of a school of 1,200. The shaded area of 60∘ shows the population of the underaged pupils.

What is the population of the matured students?

Answer Details

Since the entire pie chart represents the total population of the school, and the shaded area of 60∘ represents the underaged pupils, then the remaining unshaded area of the pie chart must represent the population of matured students. To find the measure of the unshaded area, we can subtract the measure of the shaded area from the total measure of the pie chart, which is 360∘ (since a circle has 360 degrees). So the unshaded area is: 360∘ - 60∘ = 300∘ The unshaded area of 300∘ represents the population of the matured students. To find the actual population of the matured students, we need to convert the 300∘ into a proportion of the total population. The proportion of the matured students is: 300∘ / 360∘ = 5/6 This means that the population of the matured students is 5/6 of the total population of the school, which is: (5/6) x 1200 = 1000 Therefore, the population of the matured students is 1000.