document.write( "Question 487951: A jar of coins has 48 coins worth $4.50 in it. All the coins are nickels and dimes. Determine how many nickels and dimes are in the jar. \n" ); document.write( "

Algebra.Com's Answer #333216 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"n\"$ = number of nickels
\n" ); document.write( "Let $\"d\"$ = number of dimes
\n" ); document.write( "----------
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"+n+%2B+d+=+48+\"$
\n" ); document.write( "(2) $\"+5n+%2B+10d+=+450+\"$
\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) $\"+5n+%2B+10d+=+450+\"$
\n" ); document.write( "(1) $\"+-5n+-+5d+=+-240+\"$
\n" ); document.write( " $\"+5d+=+210+\"$
\n" ); document.write( " $\"+d+=+42+\"$
\n" ); document.write( "and, since
\n" ); document.write( "(1) $\"+n+%2B+d+=+48+\"$
\n" ); document.write( "(1) $\"+n+%2B+42+=+48+\"$
\n" ); document.write( "(1) $\"+n+=+48+-+42+\"$
\n" ); document.write( "(1) $\"+n+=+6++\"$
\n" ); document.write( "There are 6 nickels and 42 dimes in the jar
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"+5n+%2B+10d+=+450+\"$
\n" ); document.write( "(2) $\"+5%2A6+%2B+10%2A42+=+450+\"$
\n" ); document.write( "(2) $\"+30+%2B+420+=+450+\"$
\n" ); document.write( "(2) $\"+450+=+450+\"$
\n" ); document.write( "OK \n" ); document.write( "

\n" );