dbaltazar050
Answered

Welcome to Westonci.ca, where you can find answers to all your questions from a community of experienced professionals. Experience the convenience of finding accurate answers to your questions from knowledgeable professionals on our platform. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

A coffee distributor needs to mix a(n) Organic Free Trade coffee blend that normally sells for $9.40 per pound with a Gualtemala Antigua coffee blend that normally sells for $12.90 per pound to create 50 pounds of a coffee that can sell for $12.34 per pound. How many pounds of each kind of coffee should they mix?

A) Write an equation using the information as it is given above that can be solved to answer the question. Use
x
as your variable to represent the quantity of Organic Free Trade coffee blend.
Equation:


B) Answer: They must mix
pounds of the Organic Free Trade Blend
pounds of the Gualtemala Antigua Blend.
Round your answers to the nearest whole number of pounds.
Submit QuestionQuestion 2

Sagot :

MrRoyal

The mix of the coffee blends is an illustration of a linear equation.

  • The equation that represents the scenario is [tex]9.40x + 12.90y = 617[/tex].
  • 8 pounds of Organic Free Trade coffee blend and 42 blends of Gualtemala Antigua coffee blend should be mixed.

Let:

[tex]x \to[/tex] Organic Free Trade coffee blend

[tex]y \to[/tex] Gualtemala Antigua coffee blend

A. The equation

To create 50 pounds, we have:

[tex]x + y = 50[/tex]

The equation is generated by multiplying the unit rates by the pound of each coffee blend.

So, the equation is:

[tex]9.40 \times x + 12.90 \times y = 12.34 \times 50[/tex]

[tex]9.40x + 12.90y = 617[/tex]

B. The quantity of each

We have: [tex]x + y = 50[/tex]

Make x the subject

[tex]x = 50 - y[/tex]

Substitute [tex]x = 50 - y[/tex] in [tex]9.40x + 12.90y = 617[/tex]

[tex]9.40 \times (50 - y) + 12.90y = 617[/tex]

Open brackets

[tex]470 - 9.40y + 12.90y = 617[/tex]

Collect like terms

[tex]- 9.40y + 12.90y = 617 - 470[/tex]

[tex]3.5y = 147[/tex]

Solve for y

[tex]y = \frac{147}{3.5}[/tex]

[tex]y = 42[/tex]

Substitute [tex]y = 42[/tex] in [tex]x = 50 - y[/tex]

[tex]x = 50 - 42[/tex]

[tex]x = 8[/tex]

Hence, they must mix 8 pounds of Organic Free Trade coffee blend and 42 blends of Gualtemala Antigua coffee blend

Read more about linear equations at:

https://brainly.com/question/13473963

We appreciate your time. Please revisit us for more reliable answers to any questions you may have. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Thank you for visiting Westonci.ca. Stay informed by coming back for more detailed answers.