A coffee company produces two types of molds, hard and soft. 3-measure Colombian beans are used for 1 measure of Brazilian coffee beans in the hard type. In the soft breed, 3 measures of Colombian seeds and 5 units of Brazilian seeds are used. The company has 30 kg of coffee beans of both types (Colombia and Brazil). Since the coffee company wants to use all of its beans, create a system of equations for how many kilograms of coffee (hard and soft) it should produce. Then, solve this system of equations to find out how many kilograms of which type of coffee it should produce. (Any other solution will not be accepted. (Hint: How many grams of Brazil, how many grams of Colombian beans in 1 kg of hard (or soft) coffee?)

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter13: Conic Sections
Section13.5: Systems Involving Nonlinear Equations
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A coffee company produces two types of molds, hard and soft. 3-measure Colombian beans are used for 1 measure of Brazilian coffee beans in the hard type. In the soft breed, 3 measures of Colombian seeds and 5 units of Brazilian seeds are used. The company has 30 kg of coffee beans of both types (Colombia and Brazil).

Since the coffee company wants to use all of its beans, create a system of equations for how many kilograms of coffee (hard and soft) it should produce. Then, solve this system of equations to find out how many kilograms of which type of coffee it should produce. (Any other solution will not be accepted. (Hint: How many grams of Brazil, how many grams of Colombian beans in 1 kg of hard (or soft) coffee?)

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