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Make the Save

  • Classroom Resources / Problems of the Week

    Make the Save


    PoW ID: 3556

    Problem Print

    A hockey goalie is credited with a save when she stops a shot from going into the goal. The goalie's save percentage is calculated by dividing the number of saves made by the number of shots faced. That answer is rounded to three decimal places.

    For example, a goalie who has faced 148 shots and made 136 saves would have a save percentage of 136/148 = .9189 or .919 when rounded off.

    So far this season, Deepti has faced 131 shots and made 112 saves. What is her save percentage right now?

    Deepti wants to raise her season save percentage to at least .900. Suppose she gets hot and saves every shot for the next few games. How many shots would she have to save to raise her season save percentage to .900?

    Extra

    Extra: Suppose that instead of saving every shot, Deepti saves 94 percent of the shots she faces in the next few games. How many shots would it take for her to raise her season percentage to .900 in that case?

    Answer Check

    Show Answer

    Deepti's save percentage is currently .855. If she saves every shot, it will take 59 shots for her season save percentage to reach .900.

    Extra: Deepti will need to face 145 shots to raise her season save percentage to .900.


    If your answer doesn't match our answer,

    • and you got 6, did you remember that in order to make a save Deepti must also face a shot?
    • and you got 43, you might be solving an older version of the problem - check for changes.
    • did you realize that her total number of shots and saves will each increase by the same amount if she saves every shot?
    • did you check your arithmetic?
      

    If your answer does match ours,

    • did you use algebraic techniques to find your answer?
    • is your explanation clear and complete? Did you show all the work that you did so that it's easy to follow?
    • did you make any mistakes along the way? If so, how did you find and fix them?
    • are there any hints that you would give another student?
    • did you try the Extra?