document.write( "Question 72635This question is from textbook Developmental Mathematics
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document.write( ": Board Cutting A 72-in board is cut into two pieces. One piece is 2 in. longer than the other. Find the lengths of the pieces. Solve using the 5 step problem solving strategy. \r
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document.write( "I do not understand how to write the equation. I don't understand from the examples shown in the book. Help please \n" );
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Algebra.Com's Answer #51935 by bucky(2189)![]() ![]() ![]() You can put this solution on YOUR website! I'm not sure what the 5-step problem solving process that the book asks you to use is, but \n" ); document.write( "if you're having trouble with it, here's another way to look at this problem. \n" ); document.write( ". \n" ); document.write( "If you're going to cut the 72 inch board into two pieces, you can call one of the pieces x \n" ); document.write( "units long. And since the other piece is 2 inches longer than your first piece, its length \n" ); document.write( "is x + 2. \n" ); document.write( ". \n" ); document.write( "And when you place these two pieces back together, their lengths should add up to be 72 inches. \n" ); document.write( ". \n" ); document.write( "You can write this last statement about adding the two pieces together to get a 72 inch piece \n" ); document.write( "again in equation form as: \n" ); document.write( ". \n" ); document.write( "x + (x+2) = 72 \n" ); document.write( ". \n" ); document.write( "If you add the two terms on the left you get: \n" ); document.write( ". \n" ); document.write( "2x + 2 = 72 \n" ); document.write( ". \n" ); document.write( "To solve this begin by subtracting 2 from both sides to get rid of the 2 on the left side. \n" ); document.write( "This subtraction from both sides results in: \n" ); document.write( ". \n" ); document.write( "2x = 70 \n" ); document.write( ". \n" ); document.write( "Now just divide both sides by 2 to find that: \n" ); document.write( ". \n" ); document.write( "x = 35 \n" ); document.write( ". \n" ); document.write( "So one of the boards is 35 inches long and the other board is 2 inches longer so it has \n" ); document.write( "to be 37 inches long. The sum of the lengths of the two boards is 72 inches and one of the \n" ); document.write( "boards is 2 inches longer than the other. We have met all the requirements of the problem. \n" ); document.write( ". \n" ); document.write( "Maybe this will help you to see a logical way to think your way through to a solution. \n" ); document.write( "Sort of like learning to ride a bike. A lot of practice helps you to get good at it. \n" ); document.write( " |