document.write( "Question 4978: a jar of dimes and quarters contains $15.25. there are 103 coins in all. how many of each are there? \n" ); document.write( "
Algebra.Com's Answer #2555 by rapaljer(4671)![]() ![]() You can put this solution on YOUR website! Let x = number of quarters. The rest of the 103 coins are dimes, so \n" ); document.write( "103 - x = number of dimes.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "In order to work the whole problem in cents, change the $15.25 to cents: 1525 cents.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Value of quarters + value of dimes = Total value of coins \n" ); document.write( "25(x) + 10(103 - x) = 1525 \n" ); document.write( "25x + 1030 - 10x = 1525 \n" ); document.write( "15x + 1030 = 1525 \n" ); document.write( "15x + 1030 - 1030 = 1525 - 1030 \n" ); document.write( "15x = 495\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Number of dimes \n" ); document.write( "= 103 - x \n" ); document.write( "= 103 - 33 \n" ); document.write( "= 70 Dimes\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Check: Total value = $15.25 \n" ); document.write( "Quarters .25(33) = $8.25 \n" ); document.write( "Dimes .10(70) = 7.00 \n" ); document.write( "Total = $15.25\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "R^2 at SCC \n" ); document.write( " \n" ); document.write( " |