document.write( "Question 810501: A parking meter contains dimes and quarters worth $5.05. There are 28 coins in all. Find how many of each there are are.
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Algebra.Com's Answer #488192 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+d+\"$ = numbe of dimes
\n" ); document.write( "Let $\"+q+\"$ = number of quarters
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\n" ); document.write( "(1) $\"+d+%2B+q+=+28+\"$
\n" ); document.write( "(2) $\"+10d+%2B+25q+=+505+\"$ ( in cents )
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\n" ); document.write( "Multiply both sides o (1) by $\"+10+\"$
\n" ); document.write( "and subtract (1) from (2)
\n" ); document.write( "(2) $\"+10d+%2B+25q+=+505+\"$
\n" ); document.write( "(1) $\"+-10d+-+10q+=+-280+\"$
\n" ); document.write( " $\"+15q+=+225+\"$
\n" ); document.write( " $\"+q+=+15+\"$
\n" ); document.write( "and, since
\n" ); document.write( "(1) $\"+d+%2B+q+=+28+\"$
\n" ); document.write( "(1) $\"+d+=+13+\"$
\n" ); document.write( "There are 13 dimes and 15 quarters
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\n" ); document.write( "check:
\n" ); document.write( "(2) $\"+10d+%2B+25q+=+505+\"$
\n" ); document.write( "(2) $\"+10%2A13+%2B+25%2A15+=+505+\"$
\n" ); document.write( "(2) $\"+130+%2B+375+=+505+\"$
\n" ); document.write( "(2) $\"+505+=+505+\"$
\n" ); document.write( "OK
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