math

Jane and Kathy are playing a game of marbles. In each game the loser gives the other girl a marble. When they are finished Jane had won 15 times and Kathy had 22 more marbles than wen she had started . How many games did they play?

  1. 👍 0
  2. 👎 0
  3. 👁 41
asked by sara
  1. Let x = number of games played

    x - 15 = 22

    1. 👍 0
    2. 👎 0
    posted by PsyDAG
  2. 22+15= 37

    1. 👍 0
    2. 👎 0
    posted by Alex
  3. Assume that both Jane and Kathy start with 0 marbles. If Jane wins the first 15 games in a row, she will now have 15 marbles, and Kathy will have -15 marbles. This is because for ever game Jane wins, Kathy needs to hand over a marble. Jane cannot win anymore games. The goal now is to get Kathy to have 22 marbles, since this is 22 greater than zero, which is what she started with.

    Kathy currently has -15 marbles, and she needs to get up to 22 marbles. Let x equal the number of games the girls still have to play.

    x+(-15)=22

    x=37

    This is not the final answer, though. This is only the number of times Kathy won. Remember that Jane has already won 15 games. You now have to find the total amount of games they played by adding each girl's number of wins together.

    37+15=52 games total

    1. 👍 0
    2. 👎 0
    posted by Brooke

Respond to this Question

First Name

Your Response

Similar Questions

  1. Math

    Jane and kathy are playing a game of marbles. In each game the loser gives the other girl a marble. When they finished, Jane had won 15 times and Kathy had 22 more marbles than when she started. How many games did they play? The

    asked by Abbie on October 3, 2012
  2. math

    In each game of marbles a loser gives the other player a marble when they finish jane won 15 times, and kathy has 22 more marbles than when she started how many games did they play

    asked by georgia on September 19, 2011
  3. math

    Sara, Cathy, and Tina have just finished playing three games. There was only one loser in each game. Sara lost the first game, Cathy lost the second game, and tina lost the third game. After each game, the loser was required to

    asked by Brennan on September 7, 2017
  4. math

    Tom and Burt are to take turns removing either 1 or 2 marbles from a circle. There are 7 marbles. The person selecting the last marble is the loser. If Tom goes first and each of them makes the best possible removals, then who

    asked by dero on February 6, 2016
  5. English

    Literary Analysis: Plot Read the selection. Then, answer the questions that follow. I smiled to myself as I remembered the game that made me a star ten years ago . . . The rain was pouring down as I stepped out onto the football

    asked by quick help please on May 2, 2016
  6. Intro to Technology

    Lab 1.1 Can somebody please, please help me with this lab?! I know it requires sketching and modeling which only i can do , but please, any help will be appreciated. I find these labs so hard to do, but my teacher said there's no

    asked by y912f on April 22, 2010
  7. Intro to Technology

    Lab 1.1 Can somebody please, please help me with this lab?! I know it requires sketching and modeling which only i can do , but please, any help will be appreciated. I find these labs so hard to do, but my teacher said there's no

    asked by y912f on April 21, 2010
  8. Intro to Technology: repost

    Lab 1.1 Can somebody please, please help me with this lab?! I know it requires sketching and modeling which only i can do , but please, any help will be appreciated. I find these labs so hard to do, but my teacher said there's no

    asked by y912f on April 21, 2010
  9. English

    Literary Analysis: Plot Read the selection. Then, answer the questions that follow. I smiled to myself as I remembered the game that made me a star ten years ago . . . The rain was pouring down as I stepped out onto the football

    asked by quick help needed on May 1, 2016
  10. arithmetic sequences

    jessie is playing an arcade game that costs 50cents for the first game and 25cents to continue if she loses. how much will she spend on the game if she continues 9 times?

    asked by alexis on January 9, 2014

More Similar Questions