document.write( "Question 1063273: there are 22 quarters and nickels. if the total value is 2.50 ,how many nickels and quarters are there? Show the method you used to solve this problem \n" ); document.write( "

Algebra.Com's Answer #678337 by Cromlix(4381) $\"\"$ $\"About$

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Hi there,
\n" ); document.write( "Make quarters = x
\n" ); document.write( "Make nickels = y
\n" ); document.write( "there are 22 quarters and nickels.
\n" ); document.write( "x + y = 22........Eq(1)
\n" ); document.write( "the total value is 2.50
\n" ); document.write( "25x + 5y = 250.....Eq(2)
\n" ); document.write( "..............
\n" ); document.write( "x + y = 22.......Eq(1)
\n" ); document.write( "25x + 5y = 250...Eq(2)
\n" ); document.write( "Multiply Eq(1) by 25
\n" ); document.write( "25x + 25y = 550.....Eq(1)
\n" ); document.write( "25x + 5y = 250......Eq(2)
\n" ); document.write( "Subtract Eq(2) from Eq(1)
\n" ); document.write( "......20y = 300
\n" ); document.write( "y = 15
\n" ); document.write( "Substitute y = 15 into Eq(1)
\n" ); document.write( "x + y = 22.......Eq(1)
\n" ); document.write( "x + 15 = 22
\n" ); document.write( "x = 22 - 15
\n" ); document.write( "x = 7
\n" ); document.write( "There are 7 quarters and 15 nickels.
\n" ); document.write( "Hope this helps :-) \n" ); document.write( "

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