Suppose that you want to blend two coffees in order to obtain a new blend. The blend will be made with the best Arabica beans that sell for $9.00 per pound and select African Robustas that sell for $11.50 per pound to obtain 100 pounds of the new blend. The new blend will sell for $10.00 per pound and there will be no difference in revenue from selling the new blend versus selling the beans separately. How many pounds of the Arabica and Robusta beans are required?

College Algebra
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ISBN:9781337282291
Author:Ron Larson
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Chapter8: Sequences, Series,and Probability
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Suppose that you want to blend two coffees in order to obtain a new blend. The blend will be made with the best Arabica beans that sell for $9.00 per pound and select African Robustas that sell for $11.50 per pound to obtain 100 pounds of the new blend. The new blend will sell for $10.00 per pound and there will be no difference in revenue from selling the new blend versus selling the beans separately. How many pounds of the Arabica and Robusta beans are required?

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x=number of pounds of Arabica beans (price: $9)

y=number of pounds of African Robustas (price: $11.5)

total weight is 100 pounds

x+y=100

y=100-x

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