document.write( "Question 439540: 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 #303779 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"n\"$ = number of nickels he has
\n" ); document.write( "Let $\"d\"$ = number of dimes he has
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"+5n+%2B+10d+=+565+\"$ (in cents)
\n" ); document.write( "(2) $\"+5%2A%28n%2B8%29+%2B+10%2A%282d%29+=+1045+\"$ (in cents)
\n" ); document.write( "-----------------------------
\n" ); document.write( "(2) $\"+5n+%2B+40+%2B+20d+=+1045+\"$
\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( "and
\n" ); document.write( "(1) $\"+5n+%2B+10%2A44+=+565+\"$
\n" ); document.write( "(1) $\"+5n+=+565+-+440+\"$
\n" ); document.write( "(1) $\"+5n+=+125+\"$
\n" ); document.write( " $\"+n+=+25+\"$
\n" ); document.write( "He has 44 dimes
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"+5%2A%2825%2B8%29+%2B+10%2A%282%2A44%29+=+1045+\"$
\n" ); document.write( " $\"+165+%2B+880+=+1045+\"$
\n" ); document.write( " $\"+1045+=+1045+\"$
\n" ); document.write( "OK \n" ); document.write( "

\n" );