document.write( "Question 985265: kevin and Randy Muise have a jar containing 85 coins, all of which are either quarters or nickles. The total value of the coins in the jar is $11.45. How many of each type of coin do they have? \n" ); document.write( "
Algebra.Com's Answer #606151 by Cromlix(4381)![]() ![]() You can put this solution on YOUR website! Hi there, \n" ); document.write( "Jar contains 85 coins \n" ); document.write( "A mixture of quarters and nickels \n" ); document.write( "Quarters = 'x' \n" ); document.write( "Nickels = 'y' \n" ); document.write( "x + y = 85.....(1) \n" ); document.write( "Total value = $11.45 \n" ); document.write( "25x + 5y = 1145......(2) \n" ); document.write( "................ \n" ); document.write( "x + y = 85........(1) \n" ); document.write( "25x + 5y = 1145....(2) \n" ); document.write( "Multiply (1) by 5 \n" ); document.write( "5x + 5y = 425.......(1) \n" ); document.write( "25x + 5y = 1145.....(2) \n" ); document.write( "Take (1) from (2) \n" ); document.write( "20x = 720 \n" ); document.write( "x = 36 \n" ); document.write( "Substitute x = 6 into: \n" ); document.write( "x + y = 85 \n" ); document.write( "36 + y = 85 \n" ); document.write( "y = 85 - 36 \n" ); document.write( "y = 49 \n" ); document.write( "So, there are 36 quarters and \n" ); document.write( "49 nickels. \n" ); document.write( "Hope this helps:-) \n" ); document.write( " \n" ); document.write( " |