document.write( "Question 539527: Martha has a total of 11 dimes and quarters. If the total value of the coins is $1.55, how many quarters does she have? \n" ); document.write( "
Algebra.Com's Answer #353447 by oberobic(2304)\"\" \"About 
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d = dimes
\n" ); document.write( "10d = value of the dimes in cents
\n" ); document.write( "q = quarters
\n" ); document.write( "25q = value of quarters in cents
\n" ); document.write( ".
\n" ); document.write( "d + q = 11
\n" ); document.write( "so
\n" ); document.write( "d = 11-q
\n" ); document.write( ",
\n" ); document.write( "10d + 25q = 155 cents
\n" ); document.write( ".
\n" ); document.write( "substitute d = 11-q
\n" ); document.write( ".
\n" ); document.write( "10(11-q) + 25q = 155
\n" ); document.write( "110 - 10q + 25q = 155
\n" ); document.write( "15q = 45
\n" ); document.write( "q = 3
\n" ); document.write( ".
\n" ); document.write( "d = 11-3 = 8
\n" ); document.write( ".
\n" ); document.write( "Check the value.
\n" ); document.write( "25*3 + 10*8 = 75 + 80 = 155 cents
\n" ); document.write( "Correct.
\n" ); document.write( ".
\n" ); document.write( "Answer: Martha has 3 quarters and 8 dimes.
\n" ); document.write( ".
\n" ); document.write( "Done.
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