document.write( "Question 434984: 1) Diana has a total of 100 dimes and quarters. If the total value of the coins is $13.75, how many quarters does she have?
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Algebra.Com's Answer #301392 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Diana has a total of 100 dimes and quarters. \n" ); document.write( "If the total value of the coins is $13.75, how many quarters does she have? \n" ); document.write( ": \n" ); document.write( "Write two equations, we will use substitution here \n" ); document.write( ": \n" ); document.write( "total coin equation \n" ); document.write( "d + q = 100 \n" ); document.write( "d = (100-q) \n" ); document.write( "and \n" ); document.write( "total value equation \n" ); document.write( ".10d + .25q = 13.75 \n" ); document.write( "Replace d with (100-q) \n" ); document.write( ".10(100 - q) + .25q = 14.75 \n" ); document.write( "10 - .10q + .25q = 13.75 \n" ); document.write( ".15q = 13.75 - 10 \n" ); document.write( ".15q = 3.75 \n" ); document.write( "q = \n" ); document.write( "q = 25 quarters \n" ); document.write( ": \n" ); document.write( "I'll let you find the number of dimes, check the solutions in the value equation \n" ); document.write( " |