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Thank you for visiting A nursery has 50 000 of inventory in dogwood trees and red maple trees The profit on a dogwood tree is 28 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!

A nursery has $50,000 of inventory in dogwood trees and red maple trees. The profit on a dogwood tree is 28%, and the profit on a red maple tree is 18%. The profit for the entire stock is 20%. How much was invested in each type of tree?

Answer :

Final answer:

You can solve this problem by setting up a system of equations based on the given information and principle of profit percentage. The solution provides the cost of each type of tree stock.

Explanation:

The problem can be solved using the system of equations technique. Let's denote the cost of the dogwood tree stock as D and the cost of the red maple tree stock as M. Also given is that D + M = $50,000, which is the total cost of the stock. Furthermore, since the profit on the dogwood trees is 28% and the profit on the red maple trees is 18%, we know the profit from all the trees is 20% of the total. This gives us a second equation: 0.28D + 0.18M = 0.20 * 50,000.

So you have a system of two equations that you can solve simultaneously. The solution to this system gives the cost of each type of tree stock. This mix of dogwood trees and red maple trees will allow the nursery to reach an overall profit of 20% across its entire tree stock.

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