document.write( "Question 418862: Solve the following using a system of equations:
\n" ); document.write( "Marcy has a total of 100 dimes and quarters. If the total value of the coins is $14.05, how many quarters and how many dimes does she have? \n" ); document.write( "

Algebra.Com's Answer #293032 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"d\"$ = number of dimes
\n" ); document.write( "Let $\"q\"$ = number of quarters
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"d+%2B+q+=+100+\"$
\n" ); document.write( "(2) $\"10d+%2B+25q+=+1405+\"$
\n" ); document.write( "Multiply (1) by $\"10\"$ and
\n" ); document.write( "subtract (1) from (2)
\n" ); document.write( "(2) $\"10d+%2B+25q+=+1405+\"$ (in cents)
\n" ); document.write( "(1) $\"-10d+-+10q+=+-1000+\"$
\n" ); document.write( " $\"+15q+=+405+\"$
\n" ); document.write( " $\"q+=+27+\"$
\n" ); document.write( "and
\n" ); document.write( " $\"d+=+100+-+q+\"$
\n" ); document.write( " $\"d+=+100+-+27+\"$
\n" ); document.write( " $\"d+=+73+\"$
\n" ); document.write( "The number of dimes is 73
\n" ); document.write( "The number of quarters is 27
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"10d+%2B+25q+=+1405+\"$
\n" ); document.write( "(2) $\"10%2A73+%2B+25%2A27+=+1405+\"$
\n" ); document.write( " $\"730+%2B+675+=+1405+\"$
\n" ); document.write( " $\"+1405+=+1405+\"$
\n" ); document.write( "OK \n" ); document.write( "

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