Question

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?

Answers

  1. 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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