document.write( "Question 747038: Suppose Tom has 17 coins totaling $2.15. If he has only dimes and quarters, how many of each type does he have?\r
\n" ); document.write( "\n" ); document.write( "DIMES?
\n" ); document.write( "QUARTER? \n" ); document.write( "
Algebra.Com's Answer #455136 by Cromlix(4381)\"\" \"About 
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Using x = dimes and y = quarters\r
\n" ); document.write( "\n" ); document.write( " x + y = 17 ...1
\n" ); document.write( " 10x + 25y = 215 ...2\r
\n" ); document.write( "\n" ); document.write( "Multiply (1) by 10\r
\n" ); document.write( "\n" ); document.write( " 10x + 10y = 170 ...3
\n" ); document.write( " 10x + 25y = 215 ...2\r
\n" ); document.write( "\n" ); document.write( " Subtract (3) from (2)\r
\n" ); document.write( "\n" ); document.write( " 15y = 45\r
\n" ); document.write( "\n" ); document.write( " y = 3
\n" ); document.write( "Substitute y = 3 in (1)\r
\n" ); document.write( "\n" ); document.write( " x + y = 17
\n" ); document.write( " x + 3 = 17
\n" ); document.write( " x = 17 - 3
\n" ); document.write( " x = 14
\n" ); document.write( "Therefore 14 dimes and 3 quarters
\n" ); document.write( " = $2.15
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