Algebra

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a pet store has a total of 16 snakes, guinea pigs, and miniature poodles. The number of guinea pigs is 1 more than the number of miniature poodles, and 2 fewer than the number of snakes. How many snakes are there in the pet store.

  • Algebra -

    16 = snakes + guinea pigs + miniature poodles
    s=snakes, g=guinea pigs, m=miniature poodles
    16 = s + g + m
    g = 1 + m
    s = 2 + g
    So:
    16 = (2 + g) + (1 + m) + m
    16 = 2 + (1 + m) + (1 + m) + m
    Combine like terms:
    16 = 4 + 3m
    12 = 3m
    4 = m
    Since g = 1 + m:
    g = 5
    Since s = 2 + g:
    s = 7
    so the shop has 7 snakes

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