document.write( "Question 913748: Since 1953, Frank has gained two pounds every year. In 1983 he was 40% heavier than in 1953. What percent of his 1998 weight was his 1988 weight?
\n" ); document.write( "I'm really sorry - I wasn't sure which category to put this question in.
\n" ); document.write( "Thank you in advance. \n" ); document.write( "

Algebra.Com's Answer #554813 by KMST(5347) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"t\"$ = years since 1953.
\n" ); document.write( " $\"W%28t%29\"$ = Frank's weight at time $\"t\"$ (in pounds).
\n" ); document.write( " $\"W%5B0%5D\"$ = Frank's weight (in pounds) at $\"t=0\"$ (1953).
\n" ); document.write( " $\"W%28t%29=W%5B0%5D%2B2t\"$ , because he's been gaining 2 pounds per year since 1953.
\n" ); document.write( "
\n" ); document.write( "For 1983:
\n" ); document.write( " $\"t=1983-1953=30\"$ and Frank's weight that year is
\n" ); document.write( " $\"W%2830%29=W%5B0%5D%2B2%2A30=W%5B0%5D%2B60\"$ .
\n" ); document.write( "The problem tells us that $\"W%2830%29=W%5B0%5D%2B60\"$ is 140% of Frank's 1953 weight, or $\"1.40W%5B0%5D\"$ , so
\n" ); document.write( " $\"1.40W%5B0%5D=W%5B0%5D%2B60\"$ is our first equation.
\n" ); document.write( " $\"1.40W%5B0%5D=W%5B0%5D%2B60\"$ ---> $\"1.40W%5B0%5D-W%5B0%5D=60\"$ ---> $\"%281.4-1%29W%5B0%5D=60\"$ ---> $\"0.4W%5B0%5D=60\"$ ---> $\"W%5B0%5D=60%2F0.4\"$ ---> $\"W%5B0%5D=150\"$ .
\n" ); document.write( "So Frank weighed $\"W%5B0%5D=150\"$ $\"pounds\"$ in 1953,
\n" ); document.write( "and he gained 2 pound per year after that, so
\n" ); document.write( " $\"W%28t%29=150%2B2t\"$
\n" ); document.write( "
\n" ); document.write( "For 1998:
\n" ); document.write( " $\"t=1998-1953=45\"$ and Frank's weight that year is
\n" ); document.write( " $\"W%2845%29=150%2B2%2A45\"$ ---> $\"W%2845%29=150%2B90\"$ ---> $\"W%2845%29=240\"$ .
\n" ); document.write( "So Frank weighed $\"W%5B45%5D=240\"$ $\"pounds\"$ in 1998.
\n" ); document.write( "
\n" ); document.write( "For 1988:
\n" ); document.write( " $\"t=1988-1953=35\"$ and Frank's weight that year is
\n" ); document.write( " $\"W%2835%29=150%2B2%2A35\"$ ---> $\"W%2845%29=150%2B70\"$ ---> $\"W%2845%29=220\"$ .
\n" ); document.write( "So Frank weighed $\"W%5B35%5D=220\"$ $\"pounds\"$ in 1988.
\n" ); document.write( "
\n" ); document.write( "What fraction and what percentage of $\"240\"$ is $\"220\"$ ?
\n" ); document.write( "As a fraction, it is $\"220%2F240=11%2F12=+%220.91666+...%22\"$ .
\n" ); document.write( "As a percentage, it is $\"%2291.666+...%22\"$ $\"%22%25%22\"$ = about $\"highlight%28%2292+%25%22%29\"$ \n" ); document.write( "

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