document.write( "Question 508966: A parking meter will accept dimes and quarters only. At the end of the day, the meter attendants collected 55 coins whose total value was $10.75. How many coins of each type where there? \n" ); document.write( "

Algebra.Com's Answer #341197 by oberobic(2304) $\"\"$ $\"About$

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d = number of dimes
\n" ); document.write( "10d = value of the dimes in cents
\n" ); document.write( "q = number of quarters
\n" ); document.write( "24q = value of the quarters in cents
\n" ); document.write( ".
\n" ); document.write( "d + q = 55
\n" ); document.write( "so
\n" ); document.write( "d = 55-q
\n" ); document.write( ".
\n" ); document.write( "10d + 25q = 1075 cents
\n" ); document.write( ".
\n" ); document.write( "substitute d = 55-q
\n" ); document.write( ".
\n" ); document.write( "10(55-q) + 25q = 1075
\n" ); document.write( "550 -10q + 25q = 1075
\n" ); document.write( "15q = 525
\n" ); document.write( "q = 35
\n" ); document.write( ".
\n" ); document.write( "d = 55-q
\n" ); document.write( "d = 55-35
\n" ); document.write( "d = 20
\n" ); document.write( ".
\n" ); document.write( "Check to determine if the value is correct.
\n" ); document.write( "25(35) = 875 cents
\n" ); document.write( "10(20) = 200 cents
\n" ); document.write( "875 + 200 = 1075 cents
\n" ); document.write( "Correct.
\n" ); document.write( ".
\n" ); document.write( "Answer: The meter had 35 quarters and 20 dimes.
\n" ); document.write( ".
\n" ); document.write( "Done. \n" ); document.write( "

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