High School

Thank you for visiting A nursery has 45 000 of inventory in dogwood trees and red maple trees The profit on a dogwood tree is 26 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 $45,000 of inventory in dogwood trees and red maple trees. The profit on a dogwood tree is 26% 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?

Answer :

Dogwood cost = $15000

Red Maple cost = $30000



First, write an expression expressing what you know.

x = percent of inventory that's dogwood trees

(1-x) = percent of inventory that's red maple trees

So the expression looks like



0.26x + 0.17(1-x) = 0.20



Solve for x. Distribute the 0.17

0.26x + 0.17 - 0.17x = 0.20



Merge the x terms

0.09x + 0.17 = 0.20



Subtract 0.17 from both sides

0.09x = 0.20 - 0.17 = 0.03



Divide by 0.09 on both sides

x = 1/3



So one third of the inventory cost is dogwoods and two thirds is red maples. So

Dogwood cost = 45000 * 1/3 = $15000

Red Maple cost = 45000 * 2/3 = $30000

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Rewritten by : Jeany

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