A coffee shop sells assorted types of coffees, and blends them into their "signature blends". Sri Lankan sells for $4.20 per pound, and Kona sells for $6.20 per pound. A customer pays $24.30 for 4 pounds of a blend. How much of each type of coffee goes into the blend?

Amount of Sri Lankan coffee =
pounds

Amount of Kona coffee =
pounds

Answers

Answer 1

The customer bought 0.25 pounds of Sri Lankan coffee and 3.75 pounds of Kona coffee

Data;

Kona (y) = $6.20Sri Lankan (x) = $4.20System of Equation

To solve this question, let us write a system of equations to show this problem.

[tex]x + y = 4 ... equation (i)\\4.20x + 6.20y = 24.30... equation (ii)[/tex]

From equation (i)

[tex]x + y = 4\\x = 4 - y...equation (iii)[/tex]

Put equation (iii) into equation (ii)

[tex]4.20x + 6.20y = 24.30\\x = 4 - y\\4.20(4 - y)+ 6.20y = 24.30\\16.8 - 4.20y + 6.20y = 24.30\\16.8 +2y = 24.30\\2y = 24.30 - 16.80\\2y = 7.5\\2y/2 = 7.5/2\\y = 3.75[/tex]

Using the value of y which is the Kona's coffee, let's substitute this into equation (i) to solve for x

[tex]x+y = 4\\x = 4 - 3.75\\x = 0.25[/tex]

From the calculations above,

The amount of Sri Lankan coffee = 0.25 poundThe amount of Kona coffee = 3.75 pounds

Learn more on system of equations here;

https://brainly.com/question/14323743


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Function D:

Two points are (0,0), (1,2)

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Option B: B

Learn more about constant of variation here:

https://brainly.com/question/13977805

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Answers

Answer:

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Step-by-step explanation:

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{3.2.

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Picture of the shape
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