For each scenario, fill in numbers in the blanks to create a scenario that can be solved using a system of equations. Make sure the scenario that you provide has ONE solution. Then, answer the questions that follow. Scenario 1 There are total animals in the barn. Some of the animals are chickens and some are cows. There are legs in all. a. What is the system of equations that represents the scenario you created?

Elementary Algebra
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Author:Lynn Marecek, MaryAnne Anthony-Smith
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Chapter5: Systems Of Linear Equations
Section5.2: Solve Systems Of Equations By Substitution
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5. For each scenario, fill in numbers in the blanks to create a scenario that
can be solved using a system of equations. Make sure the scenario that you
provide has ONE solution. Then, answer the questions that follow.
Scenario 1
There are
total animals in the barn. Some of the animals are chickens and
some are cows. There are
legs in all.
a. What is the system of equations that represents the scenario you created?
Continue on the following page.
b. Show your solution graphically.
c. Prove your solution is correct.
Transcribed Image Text:5. For each scenario, fill in numbers in the blanks to create a scenario that can be solved using a system of equations. Make sure the scenario that you provide has ONE solution. Then, answer the questions that follow. Scenario 1 There are total animals in the barn. Some of the animals are chickens and some are cows. There are legs in all. a. What is the system of equations that represents the scenario you created? Continue on the following page. b. Show your solution graphically. c. Prove your solution is correct.
4. Hanai invested $20,000, part at 3% interest and part at 5% interest. The
investment returned $800.
a. What is the system of equations that represents this situation?
Continue on the following page.
b. How was the original $20,000 investment split between the two interest
rates?
c. How would the investment need to be split to make more than $800?
How do you know?
Transcribed Image Text:4. Hanai invested $20,000, part at 3% interest and part at 5% interest. The investment returned $800. a. What is the system of equations that represents this situation? Continue on the following page. b. How was the original $20,000 investment split between the two interest rates? c. How would the investment need to be split to make more than $800? How do you know?
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