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Write a system of equations to describe the situation below, solve using elimination, and fill in the blanks.A boy scout troop is selling Christmas trees at a local tree lot. In the morning, they sold Douglas Fir trees and Noble Fir trees, earning a total of . In the afternoon, they sold Douglas Fir trees and Noble Fir trees, earning a total of . How much does each type of tree cost?A Douglas Fir costs _____ and a Noble Fir costs _____.
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Q. Write a system of equations to describe the situation below, solve using elimination, and fill in the blanks.A boy scout troop is selling Christmas trees at a local tree lot. In the morning, they sold Douglas Fir trees and Noble Fir trees, earning a total of . In the afternoon, they sold Douglas Fir trees and Noble Fir trees, earning a total of . How much does each type of tree cost?A Douglas Fir costs _____ and a Noble Fir costs _____.
- Identify Equations: Identify the equations based on the given information.Morning sales: Douglas Fir trees and Noble Fir trees for .Afternoon sales: Douglas Fir trees and Noble Fir trees for .Translate this information into two equations:
- Multiply Second Equation: Multiply the second equation by a number that will allow us to eliminate one of the variables when we subtract the equations from each other. We can multiply the second equation by (which is ) to eliminate the variable , as is close to times .
- Perform Multiplication: Perform the multiplication from Step .Now we have a new equation that we can use to eliminate .
- Add Equations: Add the new equation from Step to the first equation to eliminate . Adding these equations, we get:
- Solve for N: Solve for N by dividing both sides of the equation by . This equation does not look correct. We should have a whole number for the price of a tree. There seems to be a mistake in the multiplication or the addition of the equations. Let's go back and check our calculations.
