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)\"\" \"About 
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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 :-)
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