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Rose Bush and Dogwood Tree Cost Problem

A landscaping company placed two orders to a nursery company. The first order was for 25 rose bushes and 5 dogwood trees, and total cost is $525. The second order was for 8 rose bushes and 8 dogwood trees and total cost is $200. The owner of the landscaping company would like to know how much each item was; however, the receipts from the nursery company do not list the price of each item. The owner of the landscaping company asks one of his/her children in high school to use algebra to solve the problem. What is the cost of one rose bush and one dogwood tree?

X + Y =

Equation 1

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X + Y =

Equation 2

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Answer, X = cost of rose

Answer, Y = cost of dogwood tree

Visit Determinant of 2 x 2 Matrix for more explanation on how this automatic scenario analysis becomes possible

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