Results 1 to 3 of 3

Math Help - word problem

  1. #1
    Newbie
    Joined
    Sep 2008
    Posts
    8

    word problem

    In a quiz game, a player earns 5 points for every correct answer and loses 3 point for every wrong answer. If Steve’s score is 0 after answering 40 questions, how many questions did he answer correctly?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Super Member
    Joined
    Sep 2007
    Posts
    528
    Awards
    1
    Quote Originally Posted by amywright00 View Post
    In a quiz game, a player earns 5 points for every correct answer and loses 3 point for every wrong answer. If Steve’s score is 0 after answering 40 questions, how many questions did he answer correctly?
    My approach isn't very mathematical, I'm sure there is a better approach but here's mine. Some mathematical principle but most trial and error.

    You want to find a common multiple. If Steve's score is 0, then this meant that he lost on more occasion that won.

    The common multiple of 3 and 5 are:

    15, 30, 45, 60, 75, 90 etc.

    At which value would the alternative pair add upto 40. This would be 75 because:

    75 \div 3 = 25
    75 \div 5 = 15

    The alternative pair 25 and 15 add to make 40.

    This means, Steve lost 25 times and won 15 times.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    MHF Contributor
    Joined
    Apr 2005
    Posts
    1,631
    Quote Originally Posted by amywright00 View Post
    In a quiz game, a player earns 5 points for every correct answer and loses 3 point for every wrong answer. If Steve’s score is 0 after answering 40 questions, how many questions did he answer correctly?
    Here is one way.

    Let x = number of correct answers
    So, (40 -x) = number of wrong answers.

    (x)(5) -(40 -x)(3) = o
    5x -120 +3x = 0
    8x = 120
    x = 120/8 = 15 correct answers
    So,
    (40 -x) = (40 -15) = 25 wrong answers.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. word problem - the snow plough problem?
    Posted in the Differential Equations Forum
    Replies: 1
    Last Post: October 13th 2011, 02:02 PM
  2. Replies: 3
    Last Post: January 2nd 2011, 09:20 PM
  3. 1 Word problem and 1 function problem
    Posted in the Algebra Forum
    Replies: 8
    Last Post: April 21st 2010, 09:01 AM
  4. Replies: 2
    Last Post: January 10th 2009, 06:49 AM

Search Tags


/mathhelpforum @mathhelpforum