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Thank you for visiting A nursery has 35 000 of inventory in dogwood trees and red maple trees The profit on a dogwood tree is 25 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 $35,000 of inventory in dogwood trees and red maple trees. The profit on a dogwood tree is 25%, and the profit on a red maple tree is 17%. The profit for the entire stock is 18%. How much (in dollars) was invested in each type of tree?

Answer :

The amount invested in dogwood trees is $4,375; while the amount invested in maple trees is $30,625.

How do we solve mathematical proportions?

This question can be solved based on mathematical proportion as follows:

Let;

x = Proportion of dogwood trees

y = 1 - x = Proportion of red maple trees

Therefore, we solve as follows:

25x + 17y = 18

25x + 17(1 - x) = 18

25x + 17 - 17x = 18

25x - 17x = 18 - 17

8x = 1

x = 1 / 8 = 0.125

Solving for y, we substitute for x as follows:

y = 1 - 0.125 = 0.875

Therefore, we have:

Amount invested in dogwood trees = x * $35,000 = 0.125 * $35,000 = $4,375

Amount invested in maple trees = y * $35,000 = 0.875 * $35,000 = $30,625

Learn more about proportions here: https://brainly.com/question/7096655.

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Rewritten by : Jeany