A survey shows that 53% of the people in a city read a magazine A whereas 69% read a magazine B. If x% of the people read both the magazine then a possible value of x can be
Question
A survey shows that 53% of the people in a city read a magazine A whereas 69% read a magazine B. If x% of the people read both the magazine then a possible value of x can be
Solution
To find a possible value of x, we need to consider the overlap between the two percentages.
Step 1: Identify the total percentage of people who read either magazine A or magazine B, or both. This is given as 53% for magazine A and 69% for magazine B.
Step 2: Add these two percentages together. This gives us 122%.
Step 3: However, this total percentage is greater than 100%, which is not possible. The excess percentage represents the people who read both magazines.
Step 4: Subtract 100% from the total percentage to find the percentage of people who read both magazines. This gives us 22%.
Therefore, a possible value of x, the percentage of people who read both magazines, is 22%.
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