SOLUTION: Please help me solve this word problem: A nursery has $20,000 of inventory in dogwood trees and red maple trees. The profit on a dogwood tree is 25% and the profit on a red

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Question 164328This question is from textbook Algebra and Trigonometry
: Please help me solve this word problem:
A nursery has $20,000 of inventory in dogwood trees and red maple trees. The profit on a dogwood tree is 25% and the profit on a red maple is 17%. The profit for the entire stock is 20%. How much was invested in each type of tree?
This question is from textbook Algebra and Trigonometry

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Name your variables.
D-dogwood investment
R-red maple investment
1.D%2BR=20000
2.0.25%2AD%2B0.17%2AR=0.20%2A%28D%2BR%29
Use eq. 1 to solve for D in terms of R and substitute into eq. 2,
1.D%2BR=20000
D=20000-R
2.0.25%2AD%2B0.17%2AR=0.20%2A%2820000%29
0.25%2820000-R%29%2B0.17%2AR=4000
5000-0.25R%2B0.17R=4000
-0.08R=-1000
highlight%28R=12500%29
From eq. 1,
D=20000-R
D=20000-12500
highlight%28D=7500%29