document.write( "Question 165797: The population of Gondor is 3020 and is dropping by 12 people per year. The population of Shire is 824 and is increasing by 5 hobbits per year. How long until Gondor and Shire have the same population? \n" ); document.write( "

Algebra.Com's Answer #122215 by MRperkins(300) $\"\"$ $\"About$

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Population of Gondor=3020-12x
\n" ); document.write( "Population of Shire=824+5x
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\n" ); document.write( "We want to know when they will equal the same population so set the two equations = to each other
\n" ); document.write( "so...
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\n" ); document.write( " $\"3020-12x=824%2B5x\"$
\n" ); document.write( "Get all the x's on the same side
\n" ); document.write( "since we have -12x on the left, add 12x to both sides (whatever you do on one side you have to do to the other side)
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\n" ); document.write( "you get: $\"3020-12x%2B12x=824%2B5x%2B12x\"$
\n" ); document.write( "combine like terms
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\n" ); document.write( "you get: $\"3020=824%2B17x\"$
\n" ); document.write( "subtract 824 from both sides
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\n" ); document.write( "you get: $\"3020-824=824%2B17x-824\"$
\n" ); document.write( "combine like terms
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\n" ); document.write( "you get: $\"2196=17x\"$
\n" ); document.write( "divide each side by 17
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\n" ); document.write( "you get $\"2196%2F17=17x%2F17\"$
\n" ); document.write( "This reduces to
\n" ); document.write( " $\"2196%2F17=x\"$ and the decimal is 129.1764 or 129.18 years
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\n" ); document.write( "Therefore the populations of Gondor and Shire will be equal in 129.18 years.
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\n" ); document.write( "contact justin.sheppard.tech@hotmail.com for more information
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