document.write( "Question 33994: 
If a can of apple juice holds 12 ounces, a case of 24 cans would 
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document.write( "be how many quarts of juice? \n" );
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Algebra.Com's Answer #20366 by AnlytcPhil(1806)\"\" \"About 
You can put this solution on YOUR website!
 
If a can of apple juice holds 12 ounces, a case of 24 cans would \r\n" );
document.write( "be how many quarts of juice? \r\n" );
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document.write( "Dimensional analysis:\r\n" );
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document.write( "We will change the unit \"cans\" to \"ounces\" and then change\r\n" );
document.write( "the unit \"ounces\" to \"quarts\".\r\n" );
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document.write( "We start with 24 cans.  We make a fraction by putting it over 1\r\n" );
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document.write( "24 cans\r\n" );
document.write( "———————\r\n" );
document.write( "   1\r\n" );
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document.write( "Now we create a fraction to multiply that by. It will have \"ounces\"\r\n" );
document.write( "on the top and \"cans\" on the bottom:\r\n" );
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document.write( "24 cans   __ ounces  \r\n" );
document.write( "——————— × —————————\r\n" );
document.write( "   1       __ cans\r\n" );
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document.write( "Since 1 can = 12 ounces, we fill in the blank by \"ounces\" with 12 and\r\n" );
document.write( "the blank by \"cans\" with 1.\r\n" );
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document.write( "24 cans   12 ounces  \r\n" );
document.write( "——————— × —————————\r\n" );
document.write( "   1        1 cans\r\n" );
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document.write( "Now we can cancel the \"cans\", and have only ounces:\r\n" );
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document.write( "24 cans   12 ounces  \r\n" );
document.write( "——————— × —————————\r\n" );
document.write( "   1        1 cans\r\n" );
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document.write( "Next we create a fraction to multiply that by. It will have \r\n" );
document.write( "quarts on the top and ounces on the bottom:\r\n" );
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document.write( "24 cans   12 ounces   __ quarts\r\n" );
document.write( "——————— × ————————— × ——————————— \r\n" );
document.write( "   1        1 cans    __ ounces\r\n" );
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document.write( "Since 1 quart = 32 ounces, we fill in the blank by quarts \r\n" );
document.write( "with 1 and the blank by ounces with 32.\r\n" );
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document.write( "24 cans   12 ounces     1 quarts\r\n" );
document.write( "——————— × ————————— × ————————————\r\n" );
document.write( "   1        1 cans     32 ounces\r\n" );
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document.write( "Now we can cancel the ounces, and have only quarts left:\r\n" );
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document.write( "24 cans   12 ounces     1 quarts\r\n" );
document.write( "——————— × ————————— × ————————————\r\n" );
document.write( "   1        1 cans     32 ounces\r\n" );
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document.write( "Indicate the numbers multiplied on the top and the bottom, and\r\n" );
document.write( "eliminate the canceled units:\r\n" );
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document.write( "24×12×1 quarts\r\n" );
document.write( "——————————————\r\n" );
document.write( "   1×1×32\r\n" );
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document.write( "8 will divide into 24 and also into 32\r\n" );
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document.write( " 3\r\n" );
document.write( "24×12×1 quarts\r\n" );
document.write( "——————————————\r\n" );
document.write( "   1×1×32\r\n" );
document.write( "        4\r\n" );
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document.write( "The 4 on the bottom will cancel into the 12 on the top:\r\n" );
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document.write( " 3  3\r\n" );
document.write( "24×12×1 quarts\r\n" );
document.write( "——————————————\r\n" );
document.write( "   1×1×32\r\n" );
document.write( "        4\r\n" );
document.write( "        1\r\n" );
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document.write( "So we end up with 3×3 quarts or 9 quarts.\r\n" );
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document.write( "Edwin\r\n" );
document.write( "AnlytcPhil@aol.com
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