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Math Help - Venn Diagram Logics

  1. #1
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    Venn Diagram Logics

    A garage that does state automobile inspections found that 12 cars failed because of bad tires, 23 cars failed because of bad brakes, 15 cars failed because of faulty exhaust systems, 9 cars failed because of bad tires and brakes, 8 cars failed because of bad brakes and exhaust systems, 5 cars failed because of bad tires and exhaust systems, and 2 cars failed because of all three conditions.

    a) How many cars failed because of at least 2 of these problems?
    b) How many cars failed because of tires and brakes but not exhaust?
    c) How many cars failed because of only one problem?


    please help me with this problem i'm having a hard time figuring this out, thanks
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  2. #2
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    answers
    1) 9+8+5+2=24
    2)9 only
    3) 12+23+15=50
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