Basket Problem Solving and Equations

The video tutorial explains a math problem involving the purchase of tomato baskets at a vegetable stand. It demonstrates how to set up and solve systems of equations to determine the number of small and large baskets purchased by a customer. The tutorial uses both elimination and substitution methods to solve the equations. It also analyzes a second customer's claim and explains why it is incorrect, emphasizing the importance of whole numbers in the context of the problem. The video concludes with a brief discussion on grading criteria for such problems.

What is the price of a small basket of tomatoes?

• $4

• $5

• $3

• $2

How much does a large basket of tomatoes cost?

• $3

• $6

• $4

• $5

What is the total number of baskets purchased by the customer?

• 9

• 8

• 7

• 6

What is the total amount paid by the customer for the baskets?

• $34

• $36

• $30

• $32

What is the purpose of using systems of equations in this context?

• To find the total cost

• To determine the number of baskets

• To calculate the average price

• To compare different stands

What is the equation for the total number of baskets in the first problem?

• x + y = 10

• x + y = 12

• x + y = 8

• x + y = 6

What is the equation for the total cost in the first problem?

• 3x + 5y = 34

• 3x + 5y = 30

• 3x + 5y = 32

• 3x + 5y = 36

Which method is used to solve the system of equations in the first problem?

• Substitution

• Graphing

• Elimination

• Matrix

What is the first step in solving the system using elimination?

• Subtract equations

• Multiply equations

• Divide equations

• Add equations

What is the result of multiplying the bottom equation by -3 in the first problem?

• -3x - 3y = -24

• 3x - 3y = -24

• -3x + 3y = -24

• -3x - 3y = 24