document.write( "Question 336591: Eighty-six coins made up of dimes and quarters amount to $14.60. How many of each of these coins are there? \n" ); document.write( "

Algebra.Com's Answer #241251 by Fombitz(32388) $\"\"$ $\"About$

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Let D be the number of dimes, Q the number of quarters.
\n" ); document.write( "1. $\"D%2BQ=86\"$
\n" ); document.write( "2. $\"10D%2B25Q=1460\"$
\n" ); document.write( "From eq. 1,
\n" ); document.write( " $\"D=86-Q\"$
\n" ); document.write( "Substitute into eq. 2,
\n" ); document.write( " $\"10%2886-Q%29%2B25Q=1460\"$
\n" ); document.write( " $\"860-10Q%2B25Q=1460\"$
\n" ); document.write( " $\"15Q=600\"$
\n" ); document.write( " $\"highlight%28Q=40%29\"$
\n" ); document.write( "Then from eq. 1,
\n" ); document.write( " $\"D%2B40=86\"$
\n" ); document.write( " $\"highlight%28D=46%29\"$ \n" ); document.write( "

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