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)![]() ![]() ![]() You can put this solution on YOUR website! 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. \n" ); document.write( " |