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

The amount invested in dogwood treesis $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

dogwoodtrees$4,375; while the amount invested inmapletrees is$30,625.## How do we solve mathematical proportions?

solvedbased on mathematical proportion as follows:dogwoodtrees = x * $35,000 = 0.125 * $35,000 =$4,375mapletrees = y * $35,000 = 0.875 * $35,000 =$30,625proportionshere: https://brainly.com/question/7096655.