document.write( "Question 1203133: An art collector has a porcelain vase that is 15 years old and a crystal vase that is 95 years old. In how many year will the crystal vase be three times as old as the porcelain vase will be than? \n" ); document.write( "

Algebra.Com's Answer #838448 by ikleyn(52879) $\"\"$ $\"About$

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\n" ); document.write( "An art collector has a porcelain vase that is 15 years old
\n" ); document.write( "and a crystal vase that is 95 years old.
\n" ); document.write( "In how many year will the crystal vase be three times as old
\n" ); document.write( "as the porcelain vase will be $\"highlight%28cross%28than%29%29\"$ then?
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document.write( "Let x be the number of years to pass until the crystal vase be three times as old \r\n" );
document.write( "as the porcelain vase will be then  (so, x is the unknown value under the problem's question).\r\n" );
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document.write( "Write an equation as you read the problem\r\n" );
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document.write( "    95 + x = 3*(15+x).\r\n" );
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document.write( "Simplify it and find x\r\n" );
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document.write( "    95 + x = 45 + 3x\r\n" );
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document.write( "    95 - 45 = 3x - x\r\n" );
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document.write( "       50   =    2x\r\n" );
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document.write( "        x   =    50/2 = 25 years.    ANSWER\r\n" );
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document.write( "CHECK.  In 25 years, the age of the porcelain vase will be 15+25 =  40 years;\r\n" );
document.write( "                     the age of the crystal   vase will be 95+25 = 120 years;\r\n" );
document.write( "                     120 = 3*40, so the answer is correct.\r\n" );
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\n" ); document.write( "\n" ); document.write( "What you really need to learn from my solution, is \" to write equation/equations as you read the problem \".\r
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\n" ); document.write( "\n" ); document.write( "It is a key to your success and to your survival as a student solving word problems.\r
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