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)\"\" \"About 
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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:-)
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