1 / 11

How do you use systems of equations to help solve word problems?

How do you use systems of equations to help solve word problems?. For example, You buy 7 bags of gummy bears and 3 bags of chocolate costs $22. 3 bags of gummy bears and 1 bag of chocolate costs $8. What is the price of a bag of gummy bears and a bag of chocolate? .

umay
Download Presentation

How do you use systems of equations to help solve word problems?

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. How do you use systems of equations to help solve word problems? For example, You buy 7 bags of gummy bears and 3 bags of chocolate costs $22. 3 bags of gummy bears and 1 bag of chocolate costs $8. What is the price of a bag of gummy bears and a bag of chocolate?

  2. In this lesson you will learn how to solve word problems by using systems of equations.

  3. -3( ) -3( ) -3x + 7y = -16 -9x + 5y = 16 9x – 21y = 48 -9x + 5y = 16 + -9x + 5(-4) = 16 -16y = 64 -9x – 20 = 16 xx xx -1 -1 +20 +20 9 16 -1 -1 y = -4 9 16 -9x = 36 (-4,-4) x = -4

  4. You and a friend are at the store and want to buy some candy. You buy 7 bags of gummy bears and 3 bags of chocolate and your total is $22.Your friend buys 3 bags of gummy bears and 1 bag of chocolate and her total is $8. What is the price of a bag of gummy bears and a bag of chocolate? x y Your candy Friend’s candy 7x + 3y = 22 3x + y = 8

  5. 7x + 3y = 22 7x + 3y = 22 + -9x – 3y = -24 -3( ) -3( ) 3x + y = 8 -2x = -2 7(1) + 3y = 22 xx xx 1 -1 7 + 3y = 22 x = 1 2 3 -7 -7 1 -1 3y = 15 2 3 7(1) + 3(5) = 22 3(1) + 5 = 8 y = 5 (1,5)

  6. In this lesson you have learned how to solve word problems by solving systems of equations.

  7. The difference of two numbers is 3 and their sum is 13. What are the two numbers?

  8. Write a word problem based on the following system. Then, solve the system by using both substitution and linear combination (elimination) and write what your answer means in terms of your question. • 3x + y = 38 • 3x + 2y = 52

  9. Describe another extension activity here…

  10. Describe a third extension activity here if you have a good one…

  11. The sum of two numbers is 12 and their difference is 4. What are the two numbers? Your school is selling tickets to a spring musical. On the first day of ticket sales the school sold 3 senior citizen tickets and 9 child tickets for a total of $75. The school made $67 on the second day by selling 8 senior citizen tickets and 5 child tickets. What is the price each of one senior citizen ticket and one child ticket?

More Related