document.write( "Question 342568: Your piggy bank contains $19.75 in dimes and quarters. There are 100 coins in all. How many dimes are there?
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Algebra.Com's Answer #245307 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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Your piggy bank contains $19.75 in dimes and quarters.
\n" ); document.write( " There are 100 coins in all. How many dimes are there?
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\n" ); document.write( "Let d = no. of dimes
\n" ); document.write( "Let q = no. of quarters
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\n" ); document.write( "$total equation
\n" ); document.write( ".10d + .25q = 19.75
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\n" ); document.write( "No. of coins equation
\n" ); document.write( "d + q = 100
\n" ); document.write( "d = (100-q)
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\n" ); document.write( "Replace d with (100-q) in the $total equation
\n" ); document.write( ".10(100-q) + .25q = 19.75
\n" ); document.write( "10 - .10q + .25q = 19.75
\n" ); document.write( ".15q = 19.75 - 10
\n" ); document.write( ".15q = 9.75
\n" ); document.write( "q = $\"9.75%2F.15\"$
\n" ); document.write( "q = 65 quarters
\n" ); document.write( "then
\n" ); document.write( "100 - 65 = 35 dimes
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\n" ); document.write( "Check solution in the $total equation
\n" ); document.write( ".10(35) + .25(65) =
\n" ); document.write( "3.50 + 16.25 = 19.75, confirms our solutions \n" ); document.write( "

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