document.write( "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?? \r
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document.write( "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.
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document.write( "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.
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document.write( "12X+5Y=300 <--- IS THIS CORRECT????\r
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document.write( "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.
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document.write( "6X+8Y=315 <----- IS THIS CORRECT?\r
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document.write( "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 \n" );
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Algebra.Com's Answer #227218 by stanbon(75887)![]() ![]() ![]() 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. \n" ); document.write( "12X+5Y=300 <--- IS THIS CORRECT???? \n" ); document.write( "Yes, correct \n" ); document.write( "-------------------------- \n" ); document.write( "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. \n" ); document.write( "6X+8Y=315 <----- IS THIS CORRECT? \n" ); document.write( "Yes, correct \n" ); document.write( "-------------------------- \n" ); document.write( "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. \n" ); document.write( "----- \n" ); document.write( "System: \n" ); document.write( "12x + 5y = 300 \n" ); document.write( "6x + 8y = 315 \n" ); document.write( "---------------- \n" ); document.write( "Multiply thru the 2nd equation by 2 to get the following system: \n" ); document.write( "12x + 5y = 300 \n" ); document.write( "12x + 16y = 630 \n" ); document.write( "----------------- \n" ); document.write( "Subtract the 1st equation from the 2nd and solve for \"y\": \n" ); document.write( "11y = 330 \n" ); document.write( "y = 30 (# of Maple trees) \n" ); document.write( "----------------------------- \n" ); document.write( "Substitute into 6x + 8y = 315 and solve for \"x\": \n" ); document.write( "6x + 8(30) = 315 \n" ); document.write( "6x + 240 = 315 \n" ); document.write( "6x = 75 \n" ); document.write( "x = 12.5 (# of bushes bought) \n" ); document.write( "============================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "============================== \n" ); document.write( " \n" ); document.write( " |