document.write( "Question 494112: A clown weighs 60 lb more than a trapeze artist. The trapeze artist weighs two thirds as much as the clown. How much does each weigh? \n" ); document.write( "

Algebra.Com's Answer #335543 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"a\"$ = clown's weight
\n" ); document.write( "Let $\"b\"$ = t.a.'s weight
\n" ); document.write( "given
\n" ); document.write( "(1) $\"+a+=+b+%2B60+\"$
\n" ); document.write( "(2) $\"+b+=+%282%2F3%29%2Aa+\"$
\n" ); document.write( "-------------
\n" ); document.write( "(2) $\"+3b+=+2a+\"$
\n" ); document.write( "Substitute (1) into (2)
\n" ); document.write( "(2) $\"+3b+=+2%2A%28+b+%2B+60+%29+\"$
\n" ); document.write( "(2) $\"+3b+=+2b+%2B+120+\"$
\n" ); document.write( "(2) $\"+b+=+120+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+a+=+b+%2B60+\"$
\n" ); document.write( "(1) $\"+a+=+120+%2B+60+\"$
\n" ); document.write( "(1) $\"+a+=+180+\"$
\n" ); document.write( "The clown weighs 180
\n" ); document.write( "The trapeze artist weighs 120
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"+b+=+%282%2F3%29%2Aa+\"$
\n" ); document.write( "(2) $\"+120+=+%282%2F3%29%2A180+\"$
\n" ); document.write( "(2) $\"+360+=+360+\"$
\n" ); document.write( "OK \n" ); document.write( "

\n" );