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The larger of two numbers is 23. if three times the number is 5 more than eight times the smaller, find the smaller number.

  • Algebra -

    Many students have difficulty translating an inequation into an equation.

    Sometimes it helps to rephrase the statement into something like ...

    "three times the number is more than 8 times the smaller by 5"

    3(23) > 8x by 5

    so add 5 to the smaller side and it becomes an "equation"
    3(23) = 8x+5
    69-5 = 8x
    x = 8

    the smaller number is 8

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