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At an inter-school meet, points are awarded 5 for a gold medal, 3 for a silver and 1 for a bronze. School A won 4 gold, 2 silver and 5 bronze; School B won 3 gold, 6 silver and 2 bronze; School C won 5 gold, 1 silver and 4 bronze. Which school scored the most points?

Competition practiceData & Probability
  • ASchool A, with 31 points
  • BSchool C, with 32 points
  • CSchool B, with 35 points
  • DSchools A and B tie, with 11 medals each

Step-by-Step Solution

Turn each row of the table into points. School A: 4(5) + 2(3) + 5(1) = 20 + 6 + 5 = 31. School B: 3(5) + 6(3) + 2(1) = 15 + 18 + 2 = 35. School C: 5(5) + 1(3) + 4(1) = 25 + 3 + 4 = 32. School B leads with 35. Counting medals instead of points is the trap: A and B each won 11 medals and C only 10, yet C still finishes above A because one gold is worth five bronzes. A medal tally and a points tally can rank the same schools differently.
Answer: C) School B, with 35 points

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