Verified Answer :

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Final answer:

Using the principle of inclusion-exclusion, we determined that 40 people read both Variedades and Cosmos magazines out of a total of 240 surveyed people.


Explanation:

Let's solve this using the principle of inclusion-exclusion. We have a total of 240 people surveyed. Those who read Variedades magazine are 80, those who read Cosmos are 120, and 24 read neither. To find the number of people who read both magazines:

  1. Let A be the set of people who read Variedades (80)
  2. Let B be the set of people who read Cosmos (120)
  3. Number of people who read both magazines = |A ∩ B| = |A| + |B| - |A ∪ B|

Solving gives us |A ∩ B| = 80 + 120 - 240 = 40 people.


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