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A survey of 50 visitors to a food court revealed their preferences for Pepsi and Mirinda. The results are as follows: 20 visitors liked Pepsi, 17 liked Mirinda, and 5 liked both. If h visitors liked n

Mathematics

ScanSolve AI Answer

Step 1: Reconfirm the values for each region based on the problem statement and the completed Venn diagram from part a).
From the problem description and the previous solution for part a), the number of visitors in each region are:

  • Visitors served with Pepsi only: 15−h15 - h (derived from n(P)=20n(P)=20 and n(P∩M)=h+5n(P \cap M)=h+5)
  • Visitors served with Mirinda only: 12
  • Visitors served with both Pepsi and Mirinda: h+5h+5
  • Visitors served with other drinks (neither Pepsi nor Mirinda): 2h2h

b) Step 2: Set up the equation based on the given condition.
The condition states that there were

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