Sylvia wants to mix 100 pounds of Breakfast Blend coffee that will send for $25 per pound. She is using two types of coffee to create the mixture. Kona coffee sells for $51 per pound and Columbian coffee sells for $11 per pound. How many pounds of each type of coffee should Sylvia use

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mariapaulaortiz2055 mariapaulaortiz2055

12-12-2019
Mathematics

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Sylvia wants to mix 100 pounds of Breakfast Blend coffee that will send for $25 per pound. She is using two types of coffee to create the mixture. Kona coffee sells for $51 per pound and Columbian coffee sells for $11 per pound. How many pounds of each type of coffee should Sylvia use

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Favouredlyf Favouredlyf · Answer 1 · 2019-12-12T17:32:43+01:00

Answer: Sylvia should use 35 pounds of Kona coffee and 65 pounds of Columbian coffee

Step-by-step explanation:

Let x represent the number of pounds of Kona coffee that Sylvia should use.

Let y represent the number of pounds of Columbian coffee that Sylvia should use.

Sylvia wants to mix 100 pounds of Breakfast Blend coffee. This means that

x + y = 100

She is using two types of coffee to create the mixture. Kona coffee sells for $51 per pound and Columbian coffee sells for $11 per pound and the mixture would sell for $25 per pound.

This means that

51x + 11y = 2500 - - - - - - - - 1

Substituting x = 100 - y into equation 1, it becomes

51(100 - y) + 11y = 2500

5100 - 51y + 11y = 2500

- 51y + 11y = 2500 - 5100

- 40y = - 2600

y = - 2600/-40

y = 65

x = 100 - y

x = 100 - 65 = 35