document.write( "Question 760998: Ben has $3.40 consisting of quarters and dimes. How many coins of each kind does he have if he has 22 coins? \n" ); document.write( "

Algebra.Com's Answer #462994 by josmiceli(19441) $\"\"$ $\"About$

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10 quarters and 12 dimes =
\n" ); document.write( " $\"+10%2A25+%2B+12%2A10+=+250+%2B+120+\"$
\n" ); document.write( " $\"+250+%2B+120+=+370+\"$
\n" ); document.write( "---------------------
\n" ); document.write( "9 quarters and 13 dimes =
\n" ); document.write( " $\"+9%2A25+%2B+13%2A10+=+225+%2B+130+\"$
\n" ); document.write( " $\"+225+%2B+130+=+355+\"$
\n" ); document.write( "---------------------
\n" ); document.write( "8 quarters and 14 dimes =
\n" ); document.write( " $\"+8%2A25+%2B+14%2A10+=+200+%2B+140+\"$
\n" ); document.write( " $\"+200+%2B+140+=+340+\"$
\n" ); document.write( "---------------------
\n" ); document.write( "He has 8 quarters and 14 dimes
\n" ); document.write( "----------------------------
\n" ); document.write( "also, you can say:
\n" ); document.write( "Let $\"+d+\"$ = number of dimes he has
\n" ); document.write( "Let $\"+q+\"$ = number of quarters he has
\n" ); document.write( "-------------
\n" ); document.write( "(1) $\"+d+%2B+q+=+22+\"$
\n" ); document.write( "(2) $\"+10d+%2B+25q+=+340+\"$ ( in cents )
\n" ); document.write( "Multiply both sides of (1) by $\"+10+\"$
\n" ); document.write( "and subtract (1) from (2)
\n" ); document.write( "(2) $\"+10d+%2B+25q+=+340+\"$
\n" ); document.write( "(1) $\"+-10d+-+10q+=+-220+\"$
\n" ); document.write( " $\"+15q+=+120+\"$
\n" ); document.write( " $\"+q+=+8+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+d+%2B+q+=+22+\"$
\n" ); document.write( "(1) $\"+d+=+14+\"$
\n" ); document.write( "Same answer
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