Coffee Beans Cost and Weight Analysis

The video tutorial explains a problem involving the purchase of dark and light roast coffee beans. The goal is to buy a total of 80 kilograms of beans without exceeding a budget of $220. The tutorial guides viewers through setting up equations for quantity and cost, analyzing a graph to find the correct solution, and verifying the solution by checking both weight and cost constraints.

What are the two types of coffee beans mentioned in the problem?

• Green and roasted

• Espresso and Latte

• Dark roast and light roast

• Arabica and Robusta

How much does one kilogram of dark roast coffee beans cost?

• $5

• $4

• $3

• $2

What is the total weight of coffee beans the student wants to buy?

• 80 kilograms

• 70 kilograms

• 60 kilograms

• 90 kilograms

What is the total budget available for buying the coffee beans?

• $220

• $180

• $200

• $240

What does the variable 'X' represent in the equations?

• Dark roast coffee beans

• Light roast coffee beans

• Total cost

• Total weight

What is the equation for the total cost of the coffee beans?

• 3X + 2Y = 80

• X + Y = 220

• 3X + 2Y = 220

• X + Y = 80

Which line on the graph represents the total cost constraint?

• Red line

• Blue line

• Green line

• Yellow line

What does point 'C' on the graph indicate?

• Correct weight but incorrect cost

• Correct cost but incorrect weight

• Neither correct weight nor cost

• Both correct weight and cost

Which point on the graph represents the correct solution?

• Point B

• Point A

• Point E

• Point C

How many kilograms of dark roast coffee beans are needed for the correct solution?

• 20 kilograms

• 40 kilograms

• 80 kilograms

• 60 kilograms