document.write( "Question 493005: I need to create and solve an equation, but I don't know how.
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document.write( "The problem is: A moving company weighs 20 boxes you have packed that contain either books or clothes and says that the total weight is 404 pounds. You know that a box of books weighs 40 pounds and a box of clothes weighs 7 pounds. How many boxes of books and how many of clothes did you pack? \n" );
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Algebra.Com's Answer #335245 by Earlsdon(6294)![]() ![]() ![]() You can put this solution on YOUR website! Let B = the number of boxes of books and their total weight will then be B*(40lbs). \n" ); document.write( "The number of boxes of clothes will be (20-B) and their total weight will be (20-B)*(7lbs). The sum of the weights of all of these boxes will be 404lbs. \n" ); document.write( "Let's write the equation that models this situation: \n" ); document.write( "B*(40)+(20-B)*(7) = 404 Simplify this and solve for B. \n" ); document.write( "40B+140-7B = 404 Subtract 140 from both sides. \n" ); document.write( "40B-7B = 264 \n" ); document.write( "33B = 264 Divide both sides by 33. \n" ); document.write( "B = 8 \n" ); document.write( "and 20-B = 12. \n" ); document.write( "There were 8 boxes of books and 12 boxes of clothes. \n" ); document.write( " |