document.write( "Question 1113361: Tim has 40 dimes and quarters with a total value of $7.75. How many dimes and how many quarters does he have? \n" ); document.write( "

Algebra.Com's Answer #728377 by mananth(16946) $\"\"$ $\"About$

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\n" ); document.write( "x dimes'
\n" ); document.write( "y quarters
\n" ); document.write( "
\n" ); document.write( "Equation for total coins
\n" ); document.write( "
\n" ); document.write( " x + y = 40 .............1
\n" ); document.write( "
\n" ); document.write( "Equation for amount
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\n" ); document.write( "10 x + 25 y = 775.00 .............2
\n" ); document.write( "Eliminate y
\n" ); document.write( "multiply (1)by -25.00
\n" ); document.write( "Multiply (2) by 1
\n" ); document.write( "-25.00 x -25.00 y = -1000.00
\n" ); document.write( "10.00 25.00 y = 775.00
\n" ); document.write( "Add the two equations
\n" ); document.write( "-15.00 x = -225.00
\n" ); document.write( "/ -15.00
\n" ); document.write( "x = 15.00
\n" ); document.write( "plug value of x in (1)
\n" ); document.write( "1.00 x + 1.00 y = 40
\n" ); document.write( "15.00 + 1.00 y = 40
\n" ); document.write( " 1.00 y = 25
\n" ); document.write( " y= 25
\n" ); document.write( " 15 dimes' 25 quarters
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