document.write( "Question 371767: I would like to receive help on this question:\r
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document.write( "Frank weighs 160 pounds and is on a diet to gain two pounds a week so that he can make the football team. John weighs 208 pounds and is on a diet to loose three pounds a week so that he can be in the wrestling team in a lower wight class. \r
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document.write( "?. If Frank and John can meet these goals with their diets, when will they weigh the same, and how much will they weigh at that time?
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document.write( "I dont really know how to set this word problem up, and I'd be great if you explained it to me.
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document.write( "Thanks:) \n" );
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Algebra.Com's Answer #265034 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Frank weighs 160 pounds and is on a diet to gain two pounds a week so that he \n" ); document.write( " can make the football team. \n" ); document.write( " John weighs 208 pounds and is on a diet to loose three pounds a week so that \n" ); document.write( " he can be in the wrestling team in a lower wight class. \n" ); document.write( "?. If Frank and John can meet these goals with their diets, when will they \n" ); document.write( " weigh the same, and how much will they weigh at that time? \n" ); document.write( ": \n" ); document.write( "Since one is gaining and the other is losing, there will be a day when they both \n" ); document.write( "weigh the same; \n" ); document.write( "Let d = the number of dieting days for this happen. \n" ); document.write( ": \n" ); document.write( "Frank gains 2 lb a day or a total of 2d lbs \n" ); document.write( "John loses 3 lb a day for a total of 3d lbs \n" ); document.write( ": \n" ); document.write( "An equation for this: \n" ); document.write( ": \n" ); document.write( "John's weight = Frank's weight \n" ); document.write( "208 - 3d = 160 + 2d \n" ); document.write( "do some basic algebra \n" ); document.write( "208 - 160 = 2d + 3d \n" ); document.write( "48 = 5d \n" ); document.write( "d = \n" ); document.write( "d = 9.6 dieting days, they will weight the same \n" ); document.write( ": \n" ); document.write( "How much will they weigh? \n" ); document.write( ": \n" ); document.write( "Using John's equation \n" ); document.write( "weight = 208 - 3(9.6) \n" ); document.write( "w = 208 - 28.8 \n" ); document.write( "w = 179.2 lbs \n" ); document.write( ": \n" ); document.write( "Check this using Frank's equation (should be the same if we did it right) \n" ); document.write( "w = 160 + 2(9.6) \n" ); document.write( "w = 160 + 19.2 \n" ); document.write( "w = 179.2 lbs \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "How about this? Did I make it understandable to you? \n" ); document.write( " |