document.write( "Question 1043544: LaToya Austin and Trey sent a total of 125 messages over their cell phone during the weekend Latoya sent seven more messages than Austin trey son four times as many as LaToya how many messages did each send ? \n" ); document.write( "

Algebra.Com's Answer #658680 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+a+\"$ = number of messages sent by Latoya
\n" ); document.write( "Let $\"+b+\"$ = number of messages sent by Austin
\n" ); document.write( "Let $\"+c+\"$ = number of messages sent by Trey
\n" ); document.write( "------------------------------------------
\n" ); document.write( "(1) $\"+a+%2B+b+%2B+c+=+125+\"$
\n" ); document.write( "(2) $\"+a+=+b+%2B+7+\"$
\n" ); document.write( "(3) $\"+c+=+4a+\"$
\n" ); document.write( "-----------------------
\n" ); document.write( "(2) $\"+b+=+a+-+7+\"$
\n" ); document.write( "Plug (2) and (3) into (1)
\n" ); document.write( "(1) $\"+a+%2B+a+-+7+%2B+4a+=+125+\"$
\n" ); document.write( "(1) $\"+6a+=+132+\"$
\n" ); document.write( "(1) $\"+a+=+22+\"$
\n" ); document.write( "and
\n" ); document.write( "(2) $\"+b+=+22+-+7+\"$
\n" ); document.write( "(2) $\"+b+=+15+\"$
\n" ); document.write( "and
\n" ); document.write( "(3) $\"+c+=+4%2A22+\"$
\n" ); document.write( "(3) $\"+c+=+88+\"$
\n" ); document.write( "-------------------
\n" ); document.write( "The number of messages sent by Latoya is 22
\n" ); document.write( "The number of messages sent by Austin is 15
\n" ); document.write( "The number of messages sent by Trey is 88
\n" ); document.write( "-------------------
\n" ); document.write( "check:
\n" ); document.write( "(1) $\"+a+%2B+b+%2B+c+=+125+\"$
\n" ); document.write( "(1) $\"+22+%2B+15+%2B+88+=+125+\"$
\n" ); document.write( "(1) $\"+125+=+125+\"$
\n" ); document.write( "OK \n" ); document.write( "

\n" );