document.write( "Question 844301: A salesperson's weekly paycheck is 10% more than a second salesperson's paycheck. The two paychecks total $1125. Find the amount of each paycheck. \n" ); document.write( "

Algebra.Com's Answer #508663 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"+a+\"$ = 1st salesperson's check
\n" ); document.write( "Let $\"+b+\"$ = 2nd salesperson's check
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"+a+%2B+b++=+1125+\"$
\n" ); document.write( "(2) $\"+a+=+b+%2B+.1b+\"$
\n" ); document.write( "------------------
\n" ); document.write( "Substitute (2) into (1)
\n" ); document.write( "(1) $\"+b+%2B+.1b+%2B+b+=+1125+\"$
\n" ); document.write( "(1) $\"+2.1b+=+1125+\"$
\n" ); document.write( "(1) $\"+b+=+535.71+\"$
\n" ); document.write( "and
\n" ); document.write( "(2) $\"+a+=+b+%2B+.1b+\"$
\n" ); document.write( "(2) $\"+a+=+1.1%2A535.71+\"$
\n" ); document.write( "(2) $\"+a+=+589.29+\"$
\n" ); document.write( "The 1st salesperson's check is $589.29
\n" ); document.write( "The 2nd salesperson's check is $535.71
\n" ); document.write( "check:
\n" ); document.write( " $\"+1125+=+589.29+%2B+535.71+\"$
\n" ); document.write( " $\"+1125+=+1125+\"$
\n" ); document.write( "OK
\n" ); document.write( " \n" ); document.write( "

\n" );