document.write( "Question 180064: Joe has a collection of nickels and dimes that is worth $5.65. If the number of dimes were doubled and the number of nickels were increased by 8, the value of the coins would be $10.45. How many dimes does he have? \n" ); document.write( "

Algebra.Com's Answer #134946 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"n\"$ = number of nickels
\n" ); document.write( "Let $\"d\"$ = number of dimes
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"5n+%2B+10d+=+565\"$
\n" ); document.write( " $\"5%2A%28n+%2B+8%29+%2B+10%2A%282d%29+=+1045\"$
\n" ); document.write( " $\"5n+%2B+40+%2B+20d+=+1045\"$
\n" ); document.write( "(2) $\"5n+%2B+20d+=+1005\"$
\n" ); document.write( "Subtract (1) from (2)
\n" ); document.write( "(2) $\"5n+%2B+20d+=+1005\"$
\n" ); document.write( "(1) $\"-5n+-+10d+=+-565\"$
\n" ); document.write( " $\"10d+=+440\"$
\n" ); document.write( " $\"d+=+44\"$
\n" ); document.write( "He has 44 dimes
\n" ); document.write( "check:
\n" ); document.write( "(1) $\"5n+%2B+10d+=+565\"$
\n" ); document.write( " $\"5n+%2B+10%2A44+=+565\"$
\n" ); document.write( " $\"5n+=+565+-+440\"$
\n" ); document.write( " $\"5n+=+125\"$
\n" ); document.write( " $\"n+=+25\"$
\n" ); document.write( " $\"5n+%2B+40+%2B+20d+=+1045\"$
\n" ); document.write( "(2) $\"5n+%2B+20d+=+1005\"$
\n" ); document.write( " $\"5%2A25+%2B+20%2A44+=+1005\"$
\n" ); document.write( " $\"125+%2B+880+=+1005\"$
\n" ); document.write( " $\"1005+=+1005\"$
\n" ); document.write( "OK \n" ); document.write( "

\n" );