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Algebra1 need help please?

This makes no sense to me...

At a local zoo, there are octopi and people. if there are a total of 116 feet, and you count 22 heads, how many octopi and people are there?

Help?? Thanks so much (:

1 Answer

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  • 1 decade ago
    Favorite Answer

    Octopi have 8 legs; people have 2. Both octopi and humans have 1 head each, so:

    a + b = 22

    a = 22-b

    8a + 2b = 116

    8(22-b) + 2b = 116

    176 - 8b + 2b = 116

    60 - 6b = 0

    60 = 6b

    10 = b

    a + b = 22

    a + 10= 22

    a = 12

    There are 9 octopi and 10 humans

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