document.write( "Question 211991: A boat weighs 1500 pounds more than its motor and 1900 pounds more than its trailer.Together the boat and trailer weigh five times as much as the trailer. How much does the boat weigh.
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Algebra.Com's Answer #161466 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"b\"$ = weight of boat
\n" ); document.write( "Let $\"m\"$ = weight of motor
\n" ); document.write( "Let $\"t\"$ = weight of trailer
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"b+=+m+%2B+1500\"$
\n" ); document.write( "(2) $\"b+=+t+%2B+1900\"$
\n" ); document.write( "(3) $\"b+%2B+t+=+5t\"$
\n" ); document.write( "equation (1) isn't useful to the problem
\n" ); document.write( "(2) and (3) are 2 equations and 2 unknowns,
\n" ); document.write( "so I can use them to solve for $\"b\"$
\n" ); document.write( "(2) $\"b+=+t+%2B+1900\"$
\n" ); document.write( " $\"t+=+b+-+1900\"$
\n" ); document.write( "and
\n" ); document.write( "(3) $\"b+%2B+t+=+5t\"$
\n" ); document.write( " $\"b+=+4t\"$
\n" ); document.write( "substituting,
\n" ); document.write( " $\"b+=+4%2A%28b+-+1900%29\"$
\n" ); document.write( " $\"b+=+4b+-+7600\"$
\n" ); document.write( " $\"3b+=+7600\"$
\n" ); document.write( " $\"b+=+2533.33\"$
\n" ); document.write( "The boat weighs 2533.33 pounds
\n" ); document.write( "check answer:
\n" ); document.write( " $\"t+=+b+-+1900\"$
\n" ); document.write( " $\"t+=+2533.33+-+1900\"$
\n" ); document.write( " $\"t+=+633.33\"$
\n" ); document.write( " $\"b+=+4t\"$
\n" ); document.write( " $\"2533.33+=+4%2A633.33\"$
\n" ); document.write( " $\"2533.33+=+2533.33\"$
\n" ); document.write( "OK \n" ); document.write( "

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