document.write( "Question 314177: In a group of quarters and nickels, there are four more nickels than quarters. How many nickels and quarters are there if the coins are worth $2.30? \n" ); document.write( "

Algebra.Com's Answer #224648 by Fombitz(32388) $\"\"$ $\"About$

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Let N be the number of nickels, Q the number of quarters.
\n" ); document.write( "1. $\"N=4%2BQ\"$
\n" ); document.write( "2. $\"5N%2B25Q=230\"$
\n" ); document.write( "Multiply eq. 1 by (-5) and add to eq. 2,
\n" ); document.write( " $\"-5N%2B5N%2B25Q=-20-5Q%2B230\"$
\n" ); document.write( " $\"25Q=-5Q%2B210\"$
\n" ); document.write( " $\"30Q=210\"$
\n" ); document.write( " $\"highlight%28+Q=7%29\"$
\n" ); document.write( "Then from eq. 1,
\n" ); document.write( " $\"N=4%2BQ\"$
\n" ); document.write( " $\"N=4%2B7\"$
\n" ); document.write( " $\"highlight%28+N=11%29\"$ \n" ); document.write( "

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