Question

Systems of Equations in the Real World Discussion Required Resources Read/review the following resources for this activity: OpenStax Textbook Readings Lesson in Canvas Assignments in Knewton Systems of Linear Equations and Problem Solving Mixture Problems and Systems of Equations Initial Post Instructions If you have a problem that has multiple variables, you can solve it using a system of equations. Think of a real-world example where you would need to solve using a system of equations. Write two or three sentences describing your example. Include the equations in your description, but do not solve the system. That will be left to your classmates.

Answer 1

Consider a fruit vendor selling apples (a) and oranges (o). With a + o = 80 and 2a + o = 150, this system models the scenario where they make $150 in total revenue from selling 80 apples and oranges.

Consider a scenario where a fruit vendor sells apples and oranges. Let a represent the number of apples and o represent the number of oranges.

The total revenue (R) generated from selling each apple is $2, and from selling each orange is $1. The vendor makes $150 in total revenue by selling a total of 80 apples and oranges. This situation can be modeled with the system of equations:

`\[ \begin{cases} a + o = 80 \\ 2a + o = 150 \end{cases} \]`

These equations represent the total quantity constraint and the total revenue constraint, respectively, and solving this system will determine the number of apples and oranges sold.