document.write( "Question 141010: A typical college student spends 1/3 of her waking time in class, 1/5 of her waking time eating, 1/10 of her waking time working out, 3 hrs studying, and 2.5 hrs doing other things. How many hours of sleep does she get?
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Algebra.Com's Answer #102772 by nabla(475)\"\" \"About 
You can put this solution on YOUR website!
First, let's compose a combined fraction of the three given, so that we know what fraction of her waking time we have to work with with the other two figures:\r
\n" ); document.write( "\n" ); document.write( "\"w=%281%2F3%29x%2B%281%2F5%29x%2B%281%2F10%29x=%2819%2F30%29x\"\r
\n" ); document.write( "\n" ); document.write( "That is to say, 19/30 of her time is spent between class, eating, and working out. This leaves 11/30 of her time between studying and doing other things.
\n" ); document.write( "So, let's compose an equality that says the remaining time must equal the remaining fraction of her waking time:
\n" ); document.write( "\"%2811%2F30%29x=5.5\"
\n" ); document.write( "\"x=15\".
\n" ); document.write( "This means that she is awake 15 out of every 24 hours. Thus, she sleeps for \"24-15=9\" hours per 24 hours.\r
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\n" ); document.write( "\n" ); document.write( "Check:\r
\n" ); document.write( "\n" ); document.write( "class: 5
\n" ); document.write( "eating: 3
\n" ); document.write( "working out: 1.5
\n" ); document.write( "studying: 3
\n" ); document.write( "other: 2.5
\n" ); document.write( "--------
\n" ); document.write( "waking total:15\r
\n" ); document.write( "\n" ); document.write( "+sleep:9\r
\n" ); document.write( "\n" ); document.write( "waking+sleep total:24.\r
\n" ); document.write( "\n" ); document.write( "If you have further difficulty, please send me an E-mail via my \"me\" page. Hope this helped.
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