math hw

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In set of 30 different positive integers, every number is even and/or a multiple of 3. If 22 of these numbers are even and 15 are multiple of 3, then how many of these numbers are multiple of 6?

  • math hw -

    all multiples of 6 are even and multiples of 3

    Venn diagram (intersection is mult of 6)
    n are multiples of 6
    22 - n are even only
    15 - n are 3 only

    (22- n) + n + (15-n) = 30

    37 - n = 30

    n = 7

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