Question 317344: Please Help. I believe that A+B ARE DONE , BUT C IS GIVING ME A PROBLEM. i HAVE WORKED THIS PROBLEM SEVERAL TIMES AND CAN'T FIGURE IT OUT??
Scenario #1: You handle internal accounting for Triad Homes, a land/housing developer. The company purchased land in South Florida and developed 250 acres. Two orders were recently placed with a nursery by the company’s landscapers. The invoices from the orders do not list the per-item price.
a) After contacting the Nursery, they inform you that the first order that was placed was for 12 Indian Hawthorn bushes and 5 Maple trees at a cost of $300.00. Use x to represent bushes and y to represent the trees. Write an equation that illustrates the situation.
12X+5Y=300 <--- IS THIS CORRECT????
b) The Nursery later indicates that the second order called for 6 Indian Hawthorn bushes and 8 Maple trees at a cost of $315.00. Write an equation that illustrates this situation using the same variables you used in part a.
6X+8Y=315 <----- IS THIS CORRECT?
c) Use the equations from parts a and b as a system of equations. Use elimination to determine the cost of each. Describe the steps you used to solve the problem
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! a) After contacting the Nursery, they inform you that the first order that was placed was for 12 Indian Hawthorn bushes and 5 Maple trees at a cost of $300.00. Use x to represent bushes and y to represent the trees. Write an equation that illustrates the situation.
12X+5Y=300 <--- IS THIS CORRECT????
Yes, correct
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b) The Nursery later indicates that the second order called for 6 Indian Hawthorn bushes and 8 Maple trees at a cost of $315.00. Write an equation that illustrates this situation using the same variables you used in part a.
6X+8Y=315 <----- IS THIS CORRECT?
Yes, correct
--------------------------
c) Use the equations from parts a and b as a system of equations. Use elimination to determine the cost of each. Describe the steps you used to solve the problem.
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System:
12x + 5y = 300
6x + 8y = 315
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Multiply thru the 2nd equation by 2 to get the following system:
12x + 5y = 300
12x + 16y = 630
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Subtract the 1st equation from the 2nd and solve for "y":
11y = 330
y = 30 (# of Maple trees)
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Substitute into 6x + 8y = 315 and solve for "x":
6x + 8(30) = 315
6x + 240 = 315
6x = 75
x = 12.5 (# of bushes bought)
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Cheers,
Stan H.
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