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OG Max has $125 consisting of bills each worth either $5

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AbeNeedsAnswers Master | Next Rank: 500 Posts Default Avatar
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OG Max has $125 consisting of bills each worth either $5

Post Sun Aug 20, 2017 9:22 pm
Elapsed Time: 00:00
  • Lap #[LAPCOUNT] ([LAPTIME])
    Max has $125 consisting of bills each worth either $5 or $20. How many bills worth $5 does Max have?

    (1) Max has fewer than 5 bills worth $5 each.
    (2) Max has more than 5 bills worth $20 each.

    D

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    Post Wed Aug 23, 2017 7:26 pm
    Hi AbeNeedsAnswers,

    We're told that Max has $125 consisting of bills worth $5 or $20 each. We're asked for the number of $5 bills that Max has. Based on the 'restrictions' in this question, there are only a handful of possible ways to get to $125. As such, I'm going to list them out first (before we deal with the two Facts):

    $125:
    Six 20s and one 5
    Five 20s and five 5s
    Four 20s and nine 5s
    Three 20s and thirteen 5s
    Two 20s and seventeen 5s
    One 20 and twenty-one 5s
    Zero 20s and twenty-five 5s

    1) Max has fewer than 5 bills worth $5 each.

    With this Fact, there's only one possible option: Six 20s and one 5.
    Fact 1 is SUFFICIENT

    2) Max has more than 5 bills worth $20 each.

    With this Fact, there's only one possible option: Six 20s and one 5.
    Fact 2 is SUFFICIENT

    Final Answer: D

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