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Question:

A survey was made to find the type of music that a certain group of young people liked in a city. The adjoining pie chart shows the findings of this survey. From this pie chart answer the following: (i) If 20 people liked classical music, how many young people were surveyed?

Solution:

(i) Let the total number of young people surveyed be x.
The pie chart shows that 10% of the young people liked classical music.
Given that 20 people liked classical music, we can set up a proportion:
10% of x = 20
(10/100) * x = 20
0.1x = 20
x = 20 / 0.1
x = 200
Therefore, 200 young people were surveyed.