document.write( "Question 92465: A man has 29 coins in his pocket, all of which are dimes and quarters. If the total value of his change is 590 cents, how many dimes and how many quarters does he have? \n" ); document.write( "
Algebra.Com's Answer #67331 by ankor@dixie-net.com(22740)\"\" \"About 
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Write an equation for each statement:
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\n" ); document.write( "\"A man has 29 coins in his pocket, all of which are dimes and quarters. \"
\n" ); document.write( " d + q = 29
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\n" ); document.write( "\"If the total value of his change is 590 cents,\"
\n" ); document.write( " 10d + 25q = 590
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\n" ); document.write( "how many dimes and how many quarters does he have?
\n" ); document.write( "Using the first equation:
\n" ); document.write( "d + q = 29
\n" ); document.write( "d = (29 - q)
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\n" ); document.write( "Substitute (29-q) for d in the 2nd equation:
\n" ); document.write( "10(29-q) + 25q = 590
\n" ); document.write( "290 - 10q + 25q = 590
\n" ); document.write( "-10q + 25q = 590 - 290
\n" ); document.write( "15q = 300
\n" ); document.write( "q = 300/15
\n" ); document.write( "q = 20 quarters
\n" ); document.write( ":
\n" ); document.write( "d = 29 - 20
\n" ); document.write( "d = 9 dimes
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\n" ); document.write( "Check solutions: 10(9) + 25(20) = 590\r
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