document.write( "Question 1030762: Kevin and randy muise have a jar containing 61 coins, all of which are either quarter or nickels. The total value of the coins in the jar is $5.65. How many of each type do they have? \n" ); document.write( "
Algebra.Com's Answer #645553 by Cromlix(4381) You can put this solution on YOUR website! Hi there, \n" ); document.write( "Make Nickels = x \n" ); document.write( "and Quarters = y \n" ); document.write( "x = y = 61.......(1) \n" ); document.write( "5x + 25y = 565......(2) \n" ); document.write( "Multiply Eq(1) by 25 \n" ); document.write( "25x + 25y = 1525.....(1) \n" ); document.write( "5x + 25y = 565.......(2) \n" ); document.write( "Subtract Eq(2) from Eq(1) \n" ); document.write( "20x = 960 \n" ); document.write( "x = 48 \n" ); document.write( "Substitute x = 48 into Eq(1) \n" ); document.write( "x + y = 61 \n" ); document.write( "48 + y = 61 \n" ); document.write( "y = 61 - 48 \n" ); document.write( "y = 13 \n" ); document.write( "Kevin and Randy had:- \n" ); document.write( "48 Nickels and 13 Quarters. \n" ); document.write( "Hope this helps:-) \n" ); document.write( " |