document.write( "Question 507685: Ron has 14 coins with a total value of $1.70. The coins are nickels and quarters. How many of each coin does he have?\r
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Algebra.Com's Answer #340709 by oberobic(2304)![]() ![]() ![]() You can put this solution on YOUR website! n = number of nickels \n" ); document.write( "5n = value of nickels in cents \n" ); document.write( ". \n" ); document.write( "q = number of quarters \n" ); document.write( "25q = value \n" ); document.write( ". \n" ); document.write( "5n + 25q = 170 cents \n" ); document.write( ". \n" ); document.write( "n + q = 14 \n" ); document.write( "so \n" ); document.write( "n = 14-q \n" ); document.write( ". \n" ); document.write( "5(14-q) +25q = 170 \n" ); document.write( "70 -5q + 25q= 170 \n" ); document.write( "20q = 100 \n" ); document.write( "q = 5 \n" ); document.write( ". \n" ); document.write( "n = 14-q \n" ); document.write( "n = 9 \n" ); document.write( ". \n" ); document.write( "Check the value \n" ); document.write( ". \n" ); document.write( "25(5) = 125 \n" ); document.write( "5(9) = 45 \n" ); document.write( "125 + 45 = 170 \n" ); document.write( "Correct. \n" ); document.write( ". \n" ); document.write( "Answer: 5 quarters and 9 nickels. \n" ); document.write( ". \n" ); document.write( "Done. \n" ); document.write( " |