document.write( "Question 185589: Hello, I'm trying to help my son with his math homework but it's been 30 years since I had to do math and I can't remember enough to help him.\r
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document.write( "One example of the type of questions he has would be:
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document.write( "tennis consumes 25 calories a minute
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document.write( "cycling consumes 35 calories a minute
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document.write( "The player plays both sports for a total of 50 minutes consuming 1450 calories. How long did he play tennis?\r
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document.write( "I've been trying to come up with something like 25x + 35y = 1450 but I can't go from there. \r
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document.write( "I'd be grateful if you could quickly give me some idea how to do the above.\r
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document.write( "Thanks
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document.write( "John Mullany \n" );
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Algebra.Com's Answer #139216 by Alan3354(69443)![]() ![]() You can put this solution on YOUR website! tennis consumes 25 calories a minute \n" ); document.write( "cycling consumes 35 calories a minute \n" ); document.write( "The player plays both sports for a total of 50 minutes consuming 1450 calories. How long did he play tennis? \n" ); document.write( "I've been trying to come up with something like 25x + 35y = 1450 but I can't go from there. \n" ); document.write( "I'd be grateful if you could quickly give me some idea how to do the above. \n" ); document.write( "--------------------------- \n" ); document.write( "25x + 35y = 1450 is the right approach, but I'll use t and c \n" ); document.write( "25t + 35c = 1450 (same thing) \n" ); document.write( "t + c = 50 (the missing piece) \n" ); document.write( "------------------ \n" ); document.write( "5t + 7c = 290 (reduced, smaller numbers) \n" ); document.write( "Substitute t = 50-c \n" ); document.write( "5*(50-c) + 7c = 290 \n" ); document.write( "250 - 5c + 7c = 290 \n" ); document.write( "2c = 40 \n" ); document.write( "c = 20 \n" ); document.write( "-------------- \n" ); document.write( "Then t = 30\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |