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?

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amcool amcool · Answer 1 · 2022-08-26T13:40:46+02:00

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

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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