document.write( "Question 410530: Toni has a collection of dimes and quarters with a face value of $25.30. She has 27 more quarters than she has dimes. How many of each coin does she have? \n" ); document.write( "
Algebra.Com's Answer #288846 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Toni has a collection of dimes and quarters with a face value of $25.30. \n" ); document.write( " She has 27 more quarters than she has dimes. \n" ); document.write( " How many of each coin does she have? \n" ); document.write( ": \n" ); document.write( "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( "\"a collection of dimes and quarters with a face value of $25.30.\" \n" ); document.write( ".10d + .25q = 25.30 \n" ); document.write( ": \n" ); document.write( "\" has 27 more quarters than she has dimes.\" \n" ); document.write( "q = d + 27 \n" ); document.write( ": \n" ); document.write( "Replace q with (d+27) in the 1st equation: \n" ); document.write( ".10d + .25(d+27) = 25.30 \n" ); document.write( ".10d + .25d + 6.75 = 25.30 \n" ); document.write( ".35d = 25.30 - 6.75 \n" ); document.write( ".35d = 18.55 \n" ); document.write( "d = \n" ); document.write( "d = 53 dimes \n" ); document.write( ": \n" ); document.write( "Now you can find the number of quarters I'm sure \n" ); document.write( "Check your values in the original 1st equation\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |