document.write( "Question 835431: You have a jar of pennies and dimes. You want to choose exactly 52 coins that are worth exactly $3.40 How many of each coin do you need? \n" ); document.write( "

Algebra.Com's Answer #503513 by Fombitz(32388) $\"\"$ $\"About$

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Let $\"P\"$ be the number of pennies and $\"D\"$ be the number of dimes.
\n" ); document.write( "1. $\"P%2BD=52\"$
\n" ); document.write( "Also,
\n" ); document.write( " $\"0.01P%2B0.10D=3.40\"$
\n" ); document.write( "2. $\"P%2B10D=340\"$
\n" ); document.write( "Subtract eq.1 from eq. 2,
\n" ); document.write( " $\"P%2B10D-P-D=340-52\"$
\n" ); document.write( " $\"9D=288\"$
\n" ); document.write( " $\"D=32\"$
\n" ); document.write( "Then use either equation to solve for P.
\n" ); document.write( " $\"P%2B32=52\"$
\n" ); document.write( " $\"P=20\"$
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\n" ); document.write( "20 pennies and 32 dimes. \n" ); document.write( "

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