A nursery has $60,000 of inventory in dogwood trees and red maple trees. The profit on a dogwood tree is 29% and the profit on a red maple tree is 17%. The profit for the entire stock is 20%. How much was invested in each type of tree?

"A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. When this equation is graphed, it always results in a straight line."

Given, total invested amount is $60000.

Let, invested amount for dogwood trees is $x.

Therefore, invested amount for maple trees is ($60000 - x).

Now, the profit on a dogwood tree is 29% = 0.29.

The profit on a red maple tree is 17% = 0.17.

Again, the profit for the entire stock is 20%. = 0.20.

Therefore,

(x + x × 0.29) + [(60000 - x) + (60000 - x) × 0.17 = 60000 + 60000 × 0.20

⇒ 1.29x + 60000 - x + 10200 - 0.17x = 72000

⇒ 0.12x = 72000 - 60000 - 10200

⇒ 0.12 x = 1800

⇒ x = 15000

Therefore, invested amount on dogwood tree is $15000.

Similarly, invested amount on maple tree is $(60000 - 15000) = $ 45000.

Learn more about a linear equation here: https://brainly.com/question/19567429

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