document.write( "Question 805615: Miko has 11 coins that have a total value of 85 cents. If the coins are only nickels and dimes, how many of each kind are there? \n" ); document.write( "

Algebra.Com's Answer #485360 by erica65404(394) $\"\"$ $\"About$

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nickels=x dimes=y
\n" ); document.write( " $\"x%2By=11+coins\"$
\n" ); document.write( " $\"5x%2B10y=85cents\"$
\n" ); document.write( "solve the irst equation to equal y
\n" ); document.write( " $\"y=11-x\"$
\n" ); document.write( "now plug this into the other equation
\n" ); document.write( " $\"5x%2B10%2811-x%29=85\"$
\n" ); document.write( " $\"5x%2B110-10x=85\"$
\n" ); document.write( " $\"-5x%2B110=85\"$
\n" ); document.write( " $\"-5x=-25\"$
\n" ); document.write( " $\"x=5\"$
\n" ); document.write( "plug x into $\"x%2By=11\"$
\n" ); document.write( "5+y=11
\n" ); document.write( "y=6
\n" ); document.write( "There are 5 nickels and 6 dimes.
\n" ); document.write( "Now check your answer
\n" ); document.write( " $\"5x%2B10y=85\"$
\n" ); document.write( " $\"5%285%29%2B10%286%29=85\"$
\n" ); document.write( " $\"25%2B60=85\"$
\n" ); document.write( " $\"85=85\"$
\n" ); document.write( " \n" ); document.write( "

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