document.write( "Question 175617: A bank teller was to cash a check for $260 with three times as many one-dollar bills as five's and half as many tens as five's. What denominations of cash should the teller have given? \n" ); document.write( "

Algebra.Com's Answer #130719 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"d\"$ = number of 1's
\n" ); document.write( "Let $\"f\"$ = number of 5's
\n" ); document.write( "Let $\"t\"$ = number of 10's
\n" ); document.write( "given:
\n" ); document.write( " $\"d+=+3f\"$
\n" ); document.write( " $\"t+=+f%2F2\"$
\n" ); document.write( " $\"d+%2B+5f+%2B+10t+=+260\"$
\n" ); document.write( "---------------
\n" ); document.write( "Substituting:
\n" ); document.write( " $\"3f+%2B+5f+%2B+10%2A%28f%2F2%29+=+260\"$
\n" ); document.write( " $\"8f+%2B+5f+=+260\"$
\n" ); document.write( " $\"13f+=+260\"$
\n" ); document.write( " $\"f+=+20\"$
\n" ); document.write( "since:
\n" ); document.write( " $\"d+=+3f\"$
\n" ); document.write( " $\"d+=+60\"$
\n" ); document.write( "and
\n" ); document.write( " $\"t+=+f%2F2\"$
\n" ); document.write( " $\"t+=+10\"$
\n" ); document.write( "The teller gave 60 1's, 20 5's, and 10 10,s
\n" ); document.write( "check:
\n" ); document.write( " $\"3f+%2B+5f+%2B+10%2A%28f%2F2%29+=+260\"$
\n" ); document.write( " $\"3%2A20+%2B+5%2A20+%2B+10%2A%2820%2F2%29+=+260\"$
\n" ); document.write( " $\"160+%2B+100+=+260\"$
\n" ); document.write( " $\"260+=+260\"$
\n" ); document.write( "OK \n" ); document.write( "

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