document.write( "Question 507709: Kevin and tim have 56 coins in a jar. Some quarters and some nickels. It totals 5.80. How many are quarters and how many are nickels \n" ); document.write( "

Algebra.Com's Answer #340705 by oberobic(2304) $\"\"$ $\"About$

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n = number of nickels
\n" ); document.write( "5n = value of the nickels in cents
\n" ); document.write( "q = number of quarters
\n" ); document.write( "25q = value of the quarters in cents
\n" ); document.write( ".
\n" ); document.write( "n + q = 56
\n" ); document.write( "n = 56 - q
\n" ); document.write( ".
\n" ); document.write( "5n + 25q = 580 cents
\n" ); document.write( ".
\n" ); document.write( "5*(56-q) +25q = 580
\n" ); document.write( ".
\n" ); document.write( "280 -5q +25q = 580
\n" ); document.write( ".
\n" ); document.write( "20q = 300
\n" ); document.write( ".
\n" ); document.write( "q = 15
\n" ); document.write( ".
\n" ); document.write( "n = 56 -q
\n" ); document.write( "n = 56 -15
\n" ); document.write( "n = 41
\n" ); document.write( ".
\n" ); document.write( "Check to see the vaue.
\n" ); document.write( "5(41) = 205
\n" ); document.write( "25(15) = 375
\n" ); document.write( "205 + 375 = 580
\n" ); document.write( "Correct.
\n" ); document.write( ".
\n" ); document.write( "Answer: They have 15 quarters and 41 nickels.
\n" ); document.write( ".
\n" ); document.write( "Done. \n" ); document.write( "

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