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Math Help - 3 golf holes

  1. #1
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    3 golf holes

    3 Golf Holes
    ============
    A B C just completed 3 holes of golf; a par3, par4 and par5.
    Hole scores ranged from a birdie (like 4 on the par5)
    to double-bogeys (like 7 on par5).

    A got three different scores on each hole.
    B got three different scores on each hole.
    C got three different scores on each hole.
    Also, there was no tied scores on any hole.

    1- B won par3 but came last on par5
    2- A won par4; total scores on par4 < 13
    3- C had lower score on par4 than par3

    What were the scores on each hole?
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  2. #2
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    Helloo, Wilmer!

    I came up with two solutions.
    Did I miss something?


    3 Golf Holes

    A, B, C completed 3 holes of golf: a Par 3, Par 4 and Par 5.
    Hole scores ranged from a birdie (like 4 on the par5)
    to double-bogeys (like 7 on par5).

    A got different scores on each hole.
    B got different scores on each hole.
    C got different scores on each hole.
    Also, there was no tied scores on any hole.

    1. B won Par 3, but came last on Par 5.
    2. A won Par 4.
    3. Total scores on Par 4 < 13.
    4. C had a lower score on Par 4 than Par 3

    What were the scores on each hole?

    . . \begin{array}{c||c|c|c|}<br />
& \text{Par 3} & \text{Par 4} & \text{Par 5} \\ \hline \hline<br />
A & 4 & 3 & 5 \\ \hline<br />
B & {\color{red}2,3} & 5 & 7 \\ \hline<br />
C & 5 & 4 & 6 \\ \hline<br />
\end{array}

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  3. #3
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    Gotcha! Read this CAREFULLY:
    Hole scores ranged from a birdie (like 4 on the par5)
    to double-bogeys (like 7 on par5).
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  4. #4
    Member pflo's Avatar
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    Quote Originally Posted by Wilmer View Post
    Gotcha! Read this CAREFULLY:
    Hole scores ranged from a birdie (like 4 on the par5)
    to double-bogeys (like 7 on par5).

    Ok, so there can only be one birdie. B had to get a 3 on the par 3.
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  5. #5
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    Correcto!!
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