document.write( "Question 426856: Juan goes to a bank and gets change for a
\n" ); document.write( "$50 bill consisting of all $5 bills and $1 bills. There are
\n" ); document.write( "22 bills in all. How many of each kind are there? \n" ); document.write( "

Algebra.Com's Answer #296846 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"a\"$ = number of $5 bills
\n" ); document.write( "Let $\"b\"$ = number of $1 bills
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"+a+%2B+b+=+22+\"$
\n" ); document.write( "(2) $\"+5a+%2B+b+=+50+\"$
\n" ); document.write( "----------------
\n" ); document.write( "(1) $\"b+=+22+-+a+\"$
\n" ); document.write( "By substitution:
\n" ); document.write( "(2) $\"+5a+%2B+22+-+a+=+50+\"$
\n" ); document.write( " $\"+4a+=+28+\"$
\n" ); document.write( " $\"+a+=+7+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+a+%2B+b+=+22+\"$
\n" ); document.write( " $\"+b+=+22+-+7+\"$
\n" ); document.write( " $\"+b+=+15+\"$
\n" ); document.write( "There are 7 $5 bills and 15 $1 bills \n" ); document.write( "

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