document.write( "Question 202756: Need help with this word problem please:
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document.write( "A washer and a dryer cost $841 combined. The washer costs $91 more than the dryer. What is the cost of the dryer?\r
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document.write( "Here is my try:
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document.write( "w+d=841
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document.write( "w+91+d=841? \n" );
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Algebra.Com's Answer #152928 by jsmallt9(3758)![]() ![]() ![]() You can put this solution on YOUR website! Here is my try: \n" ); document.write( "w+d=841 \n" ); document.write( "w+91+d=841 \n" ); document.write( "The first equation is good. The second equation ... not so much. \n" ); document.write( "The second equation should state the relationship between the cost of the dryer and washer. Since the \"washer costs $91 more than the dryer\" we can use: \n" ); document.write( "w=91+d \n" ); document.write( "So our two equations are: \n" ); document.write( "w+d=841 \n" ); document.write( "w=91+d \n" ); document.write( "Using the second equation, since it is already solved for w, we will substitute for w into the first equation: \n" ); document.write( "(91+d)+d=841 \n" ); document.write( "Simplifying we get: \n" ); document.write( "91 + 2d = 841 \n" ); document.write( "Subtracting 91 from both sides: \n" ); document.write( "2d = 750 \n" ); document.write( "Dividing both sides by 2: \n" ); document.write( "d = 375 \n" ); document.write( "So the dryer costs $375. To find the cost of the washer we can substitute this number for d in one of the 2 equations. Using the second equation we get: \n" ); document.write( "w = (375) + 91 \n" ); document.write( "Adding we get: \n" ); document.write( "w = 466 \n" ); document.write( "So the washer costs $466 \n" ); document.write( " |