document.write( "Question 397281: there is $5.40 and there is 27 coins how many quater and dimes are there that make up the 5.40? \n" ); document.write( "

Algebra.Com's Answer #281595 by josmiceli(19441) $\"\"$ $\"About$

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Le $\"d\"$ = number of dimes
\n" ); document.write( "Let $\"q\"$ = number of quarters
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"d+%2B+q+=+27\"$
\n" ); document.write( "(2) $\"10d+%2B+25q+=+540\"$ (in cents)
\n" ); document.write( "Multiply both sides of (1) by $\"10\"$ ,
\n" ); document.write( "and subtract (1) from (2)
\n" ); document.write( "(2) $\"10d+%2B+25q+=+540\"$
\n" ); document.write( "(1) $\"-10d+-+10q+=+-270\"$
\n" ); document.write( " $\"15q+=+270\"$
\n" ); document.write( " $\"q+=+18\"$
\n" ); document.write( "and, since,
\n" ); document.write( " $\"d+%2B+18+=+27\"$
\n" ); document.write( " $\"d+=+9\"$
\n" ); document.write( "There are 9 dimes and 18 quarters
\n" ); document.write( "check answer:
\n" ); document.write( "(2) $\"10d+%2B+25q+=+540\"$
\n" ); document.write( " $\"10%2A9+%2B+25%2A18+=+540\"$
\n" ); document.write( " $\"90+%2B+450+=+540\"$
\n" ); document.write( " $\"540+=+540\"$
\n" ); document.write( "OK \n" ); document.write( "

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