Peanut and Hazelnut Mixture Problems

The video tutorial explains how to solve a problem involving mixing hazelnuts and peanuts to achieve a specific cost per pound. It starts by defining variables and setting up equations based on the cost and weight of the nuts. The tutorial then demonstrates how to clear decimals from the equations and solve the system using substitution. Finally, it calculates the solution, rounds the results, and concludes with the final mixture composition.

What is the cost per pound of hazelnuts at the Nut Shack?

• $5.30

• $7.00

• $6.80

• $5.91

What is the total weight of the mixture that needs to be created?

• 50 pounds

• 22 pounds

• 37 pounds

• 15 pounds

What is the purpose of multiplying the cost equation by 100?

• To increase the cost

• To clear the decimals

• To simplify the equation

• To decrease the cost

Which method is used to solve the system of equations?

• Graphical method

• Trial and error

• Substitution method

• Matrix method

What is the equation used to find the number of pounds of peanuts?

• H = 37 - P

• H = 37 + P

• P = 37 - H

• P = 37 + H

How many pounds of peanuts are in the mixture?

• 22 pounds

• 15 pounds

• 50 pounds

• 37 pounds

What is the next step after finding the number of pounds of peanuts?

• Calculate the cost of peanuts

• Verify the cost equation

• Calculate the number of pounds of hazelnuts

• Recalculate the total weight

How many pounds of hazelnuts are in the mixture?

• 50 pounds

• 37 pounds

• 15 pounds

• 22 pounds

What is the total cost of the mixture?

• $530.00

• $218.67

• $591.00

• $680.00

What is the final conclusion about the mixture?

• It contains 15 pounds of peanuts and 22 pounds of hazelnuts

• It contains 22 pounds of peanuts and 15 pounds of hazelnuts

• It contains 37 pounds of peanuts

• It contains 37 pounds of hazelnuts