Coffee Blending and Pricing Concepts

The video tutorial explains how to solve a coffee blending problem where a distributor needs to mix two types of coffee to achieve a specific price per pound. The process involves defining variables, setting up an equation based on the costs and amounts of each coffee type, solving the equation, and rounding the result to find the required pounds of each coffee type. The final solution is 55 pounds of gazebo coffee and 5 pounds of shade-grown coffee.

What is the main goal of the coffee blending problem?

• To increase the caffeine content

• To reduce the cost of production

• To achieve a specific price per pound

• To create a new coffee flavor

What is the price per pound of the gazebo coffee?

• $10.20

• $11.80

• $9.50

• $10.33

How is the amount of shade-grown coffee expressed in terms of x?

• x + 60

• 2x

• 60 - x

• x - 60

What is the equation used to solve for x?

• 10.2(60 - x) = 11.8x

• 10.2x + 11.8x = 619.8

• 10.2x = 11.8(60 - x)

• 10.2x + 11.8(60 - x) = 619.8

What is the value of x after solving the equation?

• 50

• 55.125

• 5

• 60

Why do we round 55.125 to 55?

• Because 55.125 is a whole number

• Because 55.125 is exactly 55

• Because 55.125 is closer to 56 than 55

• Because 55.125 is closer to 55 than 56

What is the final amount of gazebo coffee used?

• 50 pounds

• 55 pounds

• 5 pounds

• 60 pounds

What is the final amount of shade-grown coffee used?

• 60 pounds

• 5 pounds

• 50 pounds

• 55 pounds

What is the total weight of the coffee blend?

• 50 pounds

• 60 pounds

• 55 pounds

• 65 pounds

What is the selling price per pound of the final coffee blend?

• $10.20

• $11.80

• $9.50

• $10.33