document.write( "Question 153278: 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 hours studying, and 2.5 hours doing other things. How many hours of sleep does the typical college student get? \n" ); document.write( "
Algebra.Com's Answer #112877 by ankor@dixie-net.com(22740)\"\" \"About 
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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 hours studying, and 2.5 hours doing other things. How many hours of sleep does the typical college student get?
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\n" ); document.write( "Let x = no. of hrs of sleep
\n" ); document.write( "then
\n" ); document.write( "(24-x) = waking time
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\n" ); document.write( "class + eating + working out + studying + other things + sleeping = 24
\n" ); document.write( "\"1%2F3\"(24-x) + \"1%2F5\"(24-x) + \"1%2F10\"(24-x) + 3 + 2.5 + x = 24
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\n" ); document.write( "Multiply equation by 30 to get rid of the denominators; results:
\n" ); document.write( "10(24-x) + 6(24-x) + 3(24-x) + 30(3) + 30(2.5) + 30x = 30(24)
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\n" ); document.write( "Get rid of the brackets
\n" ); document.write( "240 - 10x + 144 - 6x + 72 - 3x + 90 + 75 + 30x = 720
\n" ); document.write( "Group like terms
\n" ); document.write( "-10x - 6x - 3x + 30x + 240 + 144 + 72 + 90 + 75 = 720
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\n" ); document.write( "11x + 621 = 720
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\n" ); document.write( "11x = 720 - 621
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\n" ); document.write( "11x = 99
\n" ); document.write( "x = \"99%2F11\"
\n" ); document.write( "x = 9 hrs spent sleeping
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\n" ); document.write( ":
\n" ); document.write( "Check solution in original equation: (Waking = 24 - 9 = 15 hrs)
\n" ); document.write( "\"1%2F3\"(15) + \"1%2F5\"(15) + \"1%2F10\"(15) + 3 + 2.5 + x = 24
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\n" ); document.write( "5 + 3 + 1.5 + 3 + 2.5 + 9 = 24; confirms our solution
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\n" ); document.write( "Did this make sense to you?
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