A supplier of lawn products has three types of grass fertilizer G1, G2, and G3, having nitrogen contents of 30%,20%, and 15%, respectively. The supplier plans to mix them, obtaining 600 pounds of fertilizer with a 25% nitrogen content. The mixture is to contain 100 pounds more of type G3 than G2. How much of each type is to be used?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
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A supplier of lawn products has three types of grass fertilizer G1, G2, and G3, having nitrogen contents of 30%,20%, and 15%, respectively. The supplier plans to mix them, obtaining 600 pounds of fertilizer with a 25% nitrogen content. The mixture is to contain 100 pounds more of type G3 than G2. How much of each type is to be used?

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