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Each month, a new set of puzzles will be posted.  Come back next month for the solutions and a new set of puzzles, or subscribe to have them sent directly to you.

  1. A summer camp counsellor wants to find a length, x, in feet, of the lake as represented in the sketch below. The lengths represented by AB, EB, BD and CD on the sketch were determined to be 1800 feet, 1400 feet, 700 feet, and 800 feet, respectively. Segments AC and DE intersect at B, and angles AEB and CDB have the same measure. What is the value of x?

  1. A food truck sells salads for $6.50 each and drinks for $2.00 each. The food truck’s revenue from selling a total of 209 salads and drinks in one day was $836.50. How many salads were sold that day?
  1. How many litres of a 25% saline solution must be added to 3 litres of a 10% saline solution to obtain a 15% saline solution?

 

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There are more than one way of doing these puzzles and may well be more than one answer.  Please let me and others know what alternatives you find by commenting below.  We also welcome general comments on the subject and any feedback you'd like to give.

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Last month's solutions

Do you know your Geometry? Can you find the measure of each missing angle (a – m) in the diagram below? (Note: Diagram not drawn to scale.)

Solution:

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Some Geometry basic rules:

  1. Right angle (L ) = 90º
  2. Straight line = 180º (along each side).
  3. Triangle = 180º (internal angles).
  4. Quadrilateral (or 4-sided polygon) = 360º (internal angles).
  5. Irregular Pentagon (or 5-sided polygon) = 540º (internal angles).
  6. l, II & lll  pairs on a lines represents equal lengths.

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