1 / 4

Solving Systems of Equations in Real-World Contexts

In this practice problem, we explore how to set up and solve systems of equations through real-world scenarios. For instance, Darlene is making a quilt and spends a total of $76 on 16 yards of fabrics, consisting of regular quilting fabric and sateen fabric. We will derive the system of equations to determine the quantities of each fabric. Additionally, we examine a soccer equipment store's pricing for soccer balls and bags, offering another example of applying systems of equations to find costs.

vincent-moody
Télécharger la présentation

Solving Systems of Equations in Real-World Contexts

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. x + y = 16 x + y = 16 B A x + y = 16 x + y = 76 D C EXAMPLE 3 Standardized Test Practice Darlene is making a quilt that has alternating stripes of regular quilting fabric and sateen fabric. She spends $76 on a total of 16 yards of the two fabrics at a fabric store. Which system of equations can be used to find the amount x(in yards) of regular quilting fabric and the amount y(in yards) of sateen fabric she purchased? 4x + 6y = 76 x + y = 76 4x + 6y = 16 6x + 4y = 76

  2. x 16 y + = EXAMPLE 3 Standardized Test Practice SOLUTION Write a system of equations where xis the number of yards of regular quilting fabric purchased and yis the number of yards of sateen fabric purchased. Equation1: Amount of fabric

  3. x y + 6 4 = 76 ANSWER The correct answer is B. B C D A EXAMPLE 3 Standardized Test Practice Equation2:Cost of fabric The system of equations is: x + y = 16 Equation 1 4x + 6y = 76 Equation 2

  4. SOCCER A sports equipment store is having a sale on soccer balls. A soccer coach purchases 10 soccer balls and 2 soccer ball bags for $155. Another soccer coach purchases 12 soccer balls and 3 soccer ball bags for $189. Find the cost of a soccer ball and the cost of a soccer ball bag. 4. ANSWER soccer ball $14.50, soccer ball bag: $5 for Example 3 GUIDED PRACTICE

More Related