document.write( "Question 538164: Rebecca has 45 coins, all nickles and dimes. The total value of the coins is 3.60. How many of each type of coin does Rebecca have? \n" ); document.write( "

Algebra.Com's Answer #353127 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) $\"+n+%2B+d+=+45+\"$
\n" ); document.write( "(2) $\"+5n+%2B+10d+=+360+\"$
\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) $\"+5n+%2B+10d+=+360+\"$
\n" ); document.write( "(1) $\"+-5n+-+5d+=+-225+\"$
\n" ); document.write( " $\"+5d+=+135+\"$
\n" ); document.write( " $\"+d+=+27+\"$
\n" ); document.write( "and, since
\n" ); document.write( "(1) $\"+n+%2B+d+=+45+\"$
\n" ); document.write( "(1) $\"+n+%2B+27+=+45+\"$
\n" ); document.write( "(1) $\"+n+=+45+-+27+\"$
\n" ); document.write( "(1) $\"+n+=+18+\"$
\n" ); document.write( "She had 18 nickels and 27 dimes
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"+5%2A18+%2B+10%2A27+=+360+\"$
\n" ); document.write( "(2) $\"+90+%2B+270+=+360+\"$
\n" ); document.write( "(2) $\"+360+=+360+\"$
\n" ); document.write( "OK \n" ); document.write( "

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