1 / 10

Solving A System of Equations

Solving A System of Equations. Aileen & Ashley December 19, 2013 5-6B. Problem Situation. Maggie went to Hotdog World and bought fruit slushies for 75 cents each and conies for 1 dollar each. She spent a total of $12.75 and she bought 5 total items. How many fruit slushies did she buy? .

shadi
Download Presentation

Solving A System of Equations

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript


  1. Solving A System of Equations Aileen & Ashley December 19, 2013 5-6B

  2. Problem Situation Maggie went to Hotdog World and bought fruit slushies for 75 cents each and conies for 1 dollar each. She spent a total of $12.75 and she bought 5 total items. How many fruit slushies did she buy?

  3. Define Variables • f = number of Fruit slushies • c = number of Conies

  4. System of Equations • 0.75f + 1c = 12.75 • c + f = 5

  5. Solution Method • We are going to solve this equation by the method of elimination.

  6. Step 1 of Solution .75f + 1c = 12.75 Subtract the equations. f + c = 5 -0.25f = 7.75 Divide both sides by -0.25 -0.25 -0.25 f = -31

  7. Step 2 of Solution f + c = 5 Replace f. -31 + c = 5 +31 +31 Add to both sides. c = 36

  8. Solution to the System of Equations • (c, f) (36,-31)

  9. Check of Solution • 0.75(-31) + 36 = 12.75 • -31 + 36 = 5

  10. Solution in the Problem Situation • There is no real life solution, because you can not order a negative 31 in slushies.

More Related