Solving System of Equations in Two Scenarios

This video tutorial explores the second type of common systems of equations word problems, known as two-scenario problems. The instructor explains how to set up and solve these problems using examples involving aluminum foil and batteries, as well as a sprayer and generator. The video demonstrates the elimination method to find the cost of items in each scenario, emphasizing the importance of setting up equations correctly.

What is the main focus of the second type of common systems of equation word problems discussed in the video?

• Graphing linear equations

• Solving quadratic equations

• Amount and value problems

• Two-scenario problems

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CCSS.8.EE.C.8C

In the example problem, how many jumbo rolls of aluminum foil did Cedric buy?

• Two

• Five

• Four

• Three

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CCSS.6.EE.B.7

What was the total cost of Zelda's purchase?

• $30

• $15

• $25

• $21

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CCSS.6.EE.B.6

Which method is suggested for solving the equations in the Cedric and Zelda example?

• Substitution

• Graphing

• Factoring

• Elimination

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CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

What is the cost of one roll of aluminum foil according to the solution?

• $5

• $4

• $3

• $2

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CCSS.6.EE.B.7

In the second example, what two pieces of equipment did Thomas rent?

• Chainsaw and lawnmower

• Sprayer and generator

• Lawnmower and sprayer

• Generator and chainsaw

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CCSS.RI.6.3

CCSS.RI.6.5

CCSS.RI.7.3

CCSS.RI.8.3

CCSS.RI.8.5

How many hours did Thomas use each piece of equipment on his first job?

• Eight hours

• Six hours

• Ten hours

• Four hours

What was the total cost for Thomas's second job?

• $90

• $100

• $110

• $80

What is the cost per hour of using the generator according to the solution?

• $12

• $5

• $10

• $8

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CCSS.6.EE.B.7

What is the cost per hour of using the sprayer according to the solution?

• $9

• $7

• $5

• $3

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CCSS.6.EE.B.7