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Rosebush Puzzle 3*


   Question:

A gardener laying out a third bed of roses planted 19 rosebushes in 9 straight lines with 5 bushes in each line.

How did she do it?

   Suggested Materials:

paper
pencil
9 sticks of uncooked spaghetti and 19 pennies

or 9 toothpicks and 19 Cheerios or other flat breakfast cereal
or whatever other manipulative is handy to simulate the lines and rosebushes

   Procedure:

  1. Place 19 "rosebushes" on your desk or table.

  2. Using the 9 sticks experiment with arranging the "bushes" into 9 lines of 5 each.



   Questions to ask yourself as you work:

  1. If there are 5 bushes on each of the 9 lines and the lines are parallel, how many bushes would there be in all?

  2. Since that would be 45 bushes and you only have 19 bushes to place, can the lines be parallel?

    Check for understanding


  3. When you place 5 rosebushes on one of the lines, how many bushes do you have left?

  4. How many rosebushes are toward the inside, and how many are toward the outside?

A hint...

   Solution

    (Don't look 'til you're ready to give up!)

* Thanks to Kate Ryan, who sent this question to Ask Dr. Math at the Math Forum.

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