document.write( "Question 1117666: if you have 100 coins which equal $8.00 worth of coins,how many nickles and dimes do you have? \n" ); document.write( "

Algebra.Com's Answer #732777 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+n+\"$ = number of nickels
\n" ); document.write( "Let $\"+d+\"$ = number of dimes
\n" ); document.write( "--------------------------------
\n" ); document.write( "(1) $\"+n+%2B+d+=+100+\"$
\n" ); document.write( "(2) $\"+5n+%2B+10d+=+800+\"$ ( in cents )
\n" ); document.write( "--------------------------------------
\n" ); document.write( "Multiply both sides of (1) by $\"+5+\"$
\n" ); document.write( "and subtract (1) from (2)
\n" ); document.write( "(2) $\"+5n+%2B+10d+=+800+\"$
\n" ); document.write( "(1) $\"+-5n+-+5d+=+-500+\"$
\n" ); document.write( "---------------------------
\n" ); document.write( " $\"+5d+=+300+\"$
\n" ); document.write( " $\"+d+=+60+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+n+%2B+60+=+100+\"$
\n" ); document.write( "(1) $\"+n+=+40+\"$
\n" ); document.write( "There are 40 nickels and 60 dimes
\n" ); document.write( "------------------------------------
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"+5%2A40+%2B+10%2A60+=+800+\"$
\n" ); document.write( "(2) $\"+200+%2B+600+=+800+\"$
\n" ); document.write( "(2) $\"+800+=+800+\"$
\n" ); document.write( "OK
\n" ); document.write( " \n" ); document.write( "

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