document.write( "Question 947327: If I have a total of 30 dimes and quarters and the total value of the coins is $5.70, how many quarters do I have? How many dimes do I have? \r
\n" ); document.write( "\n" ); document.write( "I am supposed to solve this using Systems of Linear Equations (the elimination method.)\r
\n" ); document.write( "\n" ); document.write( "I have written the equations out and know that they should be as follows:\r
\n" ); document.write( "\n" ); document.write( "d=dimes and q = quarters\r
\n" ); document.write( "\n" ); document.write( "30 = d + q and 5.70 = 0.10d and 0.25q\r
\n" ); document.write( "\n" ); document.write( "I've tried 3 different ways of solving it and all have ended up with a different answer that, when tested, proves to be incorrect.\r
\n" ); document.write( "\n" ); document.write( "Thanks in advance!\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
Algebra.Com's Answer #577993 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
If I have a total of 30 dimes and quarters and the total value of the coins is $5.70, how many quarters do I have? How many dimes do I have? \r
\n" ); document.write( "\n" ); document.write( "I am supposed to solve this using Systems of Linear Equations (the elimination method.)\r
\n" ); document.write( "\n" ); document.write( "I have written the equations out and know that they should be as follows:\r
\n" ); document.write( "\n" ); document.write( "d=dimes and q = quarters\r
\n" ); document.write( "\n" ); document.write( "30 = d + q and 5.70 = 0.10d and 0.25q
\n" ); document.write( ":
\n" ); document.write( "lets rewrite the equation that you have:
\n" ); document.write( " d + q = 30
\n" ); document.write( ".10d + .25q = 5.70
\n" ); document.write( "Multiply the 2nd equation by 10, this makes .10 = 1
\n" ); document.write( "d + q = 30
\n" ); document.write( "d + 2.5q = 57
\n" ); document.write( "---------------subtraction eliminates d, find q
\n" ); document.write( "0 - 1.5q = -27
\n" ); document.write( "q = -27/-1.5
\n" ); document.write( "q = 18 quarters
\n" ); document.write( "find d using the 1st equation
\n" ); document.write( "d + 18 = 30
\n" ); document.write( "d = 12 dimes
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Check solution in the 2nd original equation
\n" ); document.write( ".10(12) + .25(18) =
\n" ); document.write( "1.20 + 4.50 = 5.70
\n" ); document.write( ":
\n" ); document.write( "Did this help?
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