document.write( "Question 1026422: Alicia emptied the change in her pocket onto a table. There were eight coins altogether. The coins were all quarters and dimes. The total value of the coins was $1.25. Let x represent the number of dimes and y represent the number of quarters. \n" ); document.write( "
Algebra.Com's Answer #641673 by Cromlix(4381) You can put this solution on YOUR website! Hi there, \n" ); document.write( "There are 8 coins \n" ); document.write( "x + y = 8...........(1) \n" ); document.write( "Dimes and quarters \n" ); document.write( "10x + 25y = 125......(2) \n" ); document.write( "Simultaneous equations: \n" ); document.write( "x + y = 8.......(1) \n" ); document.write( "10x + 25y = 125...(2) \n" ); document.write( "Multiply Eq(1) by 25 \n" ); document.write( "25x + 25y = 200....(1) \n" ); document.write( "10x + 25y = 125....(2) \n" ); document.write( "Subtract Eq(2) from Eq(1) \n" ); document.write( "15x = 75 \n" ); document.write( "x = 5 \n" ); document.write( "Substitute x = 5 into Eq(1) \n" ); document.write( "x + y = 8....(1) \n" ); document.write( "5 + y = 8 \n" ); document.write( "y = 8 - 5 \n" ); document.write( "y =3 \n" ); document.write( "5 x Dimes: 3 x Quarters \n" ); document.write( "Hope this helps :-) \n" ); document.write( " |