document.write( "Question 518142: cassandra has a total of 53 dimes and quarters. the dimes have a value of $6.60 less than the quarters. how much money does she have \n" ); document.write( "
Algebra.Com's Answer #345141 by ankor@dixie-net.com(22740) You can put this solution on YOUR website! Let d = no. of dimes \n" ); document.write( "Let q = no. of quarters \n" ); document.write( ": \n" ); document.write( "Write an equation for each statement: \n" ); document.write( ": \n" ); document.write( "\"Cassandra has a total of 53 dimes and quarters.\" \n" ); document.write( "d + q = 53 \n" ); document.write( "d = (53-q); use this for substitution \n" ); document.write( ": \n" ); document.write( "\"the dimes have a value of $6.60 less than the quarters.\" \n" ); document.write( ".25q - .10d = 6.60 \n" ); document.write( "replace d with (53-q) \n" ); document.write( ".25q - .10(53-q) = 6.60 \n" ); document.write( ".25q - 5.30 + .10q = 6.60 \n" ); document.write( ".25q + .10q = 6.60 + 5.30 \n" ); document.write( ".35q = 11.90 \n" ); document.write( "q = 11.9/.35 \n" ); document.write( "q = 34 quarters \n" ); document.write( "then \n" ); document.write( "53 - 34 = 10 dimes \n" ); document.write( "Find the total value \n" ); document.write( ".25(34) + .10(19) = $10.40 \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "You can confirm these solutions: .25(34) - .10(19) = 6.60\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |