At a construction site, Jorge is in charge of hiring skilled workers for the project. Out of 80 candidates that he interviewed, he found that

  • 45 were painters,
  • 50 were electricians,
  • 50 were plumbers,
  • 15 had skills in all three areas, and
  • all of them had skills in at least one of these areas.

If he hired everyone who was skilled in exactly 2 areas, how many candidates were hired?


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