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2.11 PUZZLES
A Guide for Problem Solving
1.   Read the problem.
2.   Let a variable stand for one of the unknowns.
     Show the other unknowns in terms of that
     variable.
3.   Write an equation and solve it.
4.   Answer the question.
5.   Check your answer.
Example
   Jean has $16 more than Joe
   Four times Joe’s amount is the same as 2
    times Jean’s amount
   How much money does each have?
Example
   One number is 6 more than another number
   Three times the larger number is 5 more than
    4 times the smaller
   What are the numbers?
Example
   Sarah is 5 years older than John
   John is twice as old as Greg
   Their ages total 45
   How old is each?
Example
   At a certain store, a pair of pants costs $8
    more than a shirt.
   Three pairs of pants cost the same as 5 shirts.
   How much does each item cost?
Homework
   Page 66
   #1 – 9
   Page 456 (For use with pages 66 – 67)
   #1 – 3

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2.11

  • 2. A Guide for Problem Solving 1. Read the problem. 2. Let a variable stand for one of the unknowns. Show the other unknowns in terms of that variable. 3. Write an equation and solve it. 4. Answer the question. 5. Check your answer.
  • 3. Example  Jean has $16 more than Joe  Four times Joe’s amount is the same as 2 times Jean’s amount  How much money does each have?
  • 4. Example  One number is 6 more than another number  Three times the larger number is 5 more than 4 times the smaller  What are the numbers?
  • 5. Example  Sarah is 5 years older than John  John is twice as old as Greg  Their ages total 45  How old is each?
  • 6. Example  At a certain store, a pair of pants costs $8 more than a shirt.  Three pairs of pants cost the same as 5 shirts.  How much does each item cost?
  • 7. Homework  Page 66  #1 – 9  Page 456 (For use with pages 66 – 67)  #1 – 3