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Help with Word Problem

  1. Dec 15, 2014 #1
    1. The problem statement, all variables and given/known data
    Jack has three times as many marbles as Chris. Chris has 2/3 as many marbles as Amy. Amy has 27 marbles. How many marbles does Jack have?

    2. Relevant equations


    3. The attempt at a solution
    Jack = 3x
    Chris = 2/3(27)

    3x = 2/3(27)

    This this equation above correct for representing this word problem?
     
  2. jcsd
  3. Dec 15, 2014 #2

    DaveC426913

    User Avatar
    Gold Member

    No, but you're almost there.

    Try solving for x, and see what you get for Jack, Chris and Amy. You'll find Jack's is not 3x Chris'.

    Use Chris as the common variable, since he's compared to both Jack and Amy:
    Chris = x
    Jack = ?x
    Amy = ?x
     
  4. Dec 15, 2014 #3

    Mark44

    Staff: Mentor

    This naming scheme might be a little confusing, as you will get (or should get) numbers for Chris, Jack, and Amy, and there's no indication that you really mean how many marbles each of them has. Instead of using their names, I would do this:

    Let C = # of marbles Chris has
    Let J = # of marbles Jack has
    Let A = # of marbles Amy has
    Use the first two sentences above to get relationships between C, J,and A.
     
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