Thank you for visiting A nursery has 40 000 of inventory in dogwood trees and red maple trees The profit on a dogwood tree is 27 and the profit. This page is designed to guide you through key points and clear explanations related to the topic at hand. We aim to make your learning experience smooth, insightful, and informative. Dive in and discover the answers you're looking for!
Answer :
Final answer:
The amount invested in dogwood trees is $5000 and the amount invested in red maple trees is $35000.
Explanation:
Let x be the amount invested in dogwood trees and y be the amount invested in red maple trees. We can set up the following system of equations:
x + y = 40000
0.27x + 0.19y = 0.20(40000)
Simplifying the second equation:
0.27x + 0.19y = 8000
Multiplying both sides by 100 to eliminate decimals:
27x + 19y = 800000
Multiplying the first equation by 19 to make the coefficients of y the same:
19x + 19y = 760000
Subtracting the second equation from the first:
8x = 40000
x = 5000
Substituting the value of x into the first equation:
5000 + y = 40000
y = 35000
Therefore, $5000 was invested in dogwood trees and $35000 was invested in red maple trees.
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