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Of the 12 full-time mathematics faculty at a high school, five drink coffee and eight do not enjoy teaching 8 a.m. classes. How many faculty both drink coffee AND enjoy teaching at 8 a.m.

  • math -

    Use Venn digagrams
    Intersect two circles, label one C the other T
    let the intersection be x
    then the part of C outside the intersection is 5-x
    the part of T outside the intersection is 8-x

    5-x + x + 8-x = 12
    x = 1

  • math -

    i don't kno

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