document.write( "Question 352519: Tony has 18 coins in his pocket that worth $2.30. The pocket contains only quarters and nickels. How many coins of each type does he have? \n" ); document.write( "

Algebra.Com's Answer #251908 by robertb(5830) $\"\"$ $\"About$

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Let q = # of quarters, n = # of nickels.
\n" ); document.write( "Then from the given, $\"q%2Bn=18\"$ , and $\"0.25q%2B0.05n=2.30\"$
\n" ); document.write( "From the first equation, $\"q=18-n\"$ .
\n" ); document.write( "Substituting this into the second equation gives
\n" ); document.write( " $\"0.25%2A%2818-n%29%2B0.05n=2.30\"$
\n" ); document.write( " $\"4.5-0.25n%2B0.05n=2.30\"$
\n" ); document.write( " $\"-0.2n=-2.2\"$
\n" ); document.write( " $\"n=%28-2.2%29%2F%28-0.2%29\"$
\n" ); document.write( " $\"n=11\"$
\n" ); document.write( "This gives $\"q=18-11=7\"$
\n" ); document.write( "Therefore there are 11 nickels and 7 quarters. \n" ); document.write( "

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