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Solving Real-world Problems Involving Systems of Equations. Type 1: Number problems. Example: Leonard works twice as many hours at his job as Sheldon, and together they work a total of 42 hours a week. How many does each work?.

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type 1 number problems
Type 1: Number problems
  • Example: Leonard works twice as many hours at his job as Sheldon, and together they work a total of 42 hours a week. How many does each work?
slide3

Example: Leonard works twice as many hours at his job as Sheldon, and together they work a total of 42 hours a week. How many does each work?

  • ...continued
type 2 money problems
Type 2: Money Problems
  • Ex. Phineas and Ferb are selling toy rockets for $14 each and jet propelled frisbees for $11 each. If their total profits are $746, and they sell 58 items, how many of each did they sell?
slide5

Ex. Phineas and Ferb are selling toy rockets for $14 each and jet propelled frisbees for $11 each. If their total profits are $746, and they sell 58 items, how many of each did they sell?

  • ...continued
type 3 flat rate problems
Type 3: Flat Rate Problems
  • Fred and Barney operate computer repair services. For a service call, Fred charges $40 and Barney charges $50. In addition, they each charge hourly rates of $35/h and $30/h respectively. One day their charges for two service calls were the same. What did they charge, and how long did each person work?
slide7

Fred and Barney operate computer repair services. For a service call, Fred charges $40 and Barney charges $50. In addition, they each charge hourly rates of $35/h and $30/h respectively. One day their charges for two service calls were the same. What did they charge, and how long did each person work?

  • ...continued