document.write( "Question 988424: A jar contains 40 coins consisting of dimes and quarters and having a total value of $4.90. How many of each kind of coin are there?\r
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\n" ); document.write( "\n" ); document.write( "Having problems figuring out the word problem. \r
\n" ); document.write( "\n" ); document.write( "I have. d + q = 40\r
\n" ); document.write( "\n" ); document.write( "And\r
\n" ); document.write( "\n" ); document.write( ".1d + .25q = 4.90\r
\n" ); document.write( "\n" ); document.write( "Can you show me how to do it?
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Algebra.Com's Answer #807888 by MathTherapy(10552)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( " A jar contains 40 coins consisting of dimes and quarters and having a total value of $4.90. How many of each kind of coin are there?\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Having problems figuring out the word problem. \r
\n" ); document.write( "\n" ); document.write( "I have. d + q = 40\r
\n" ); document.write( "\n" ); document.write( "And\r
\n" ); document.write( "\n" ); document.write( ".1d + .25q = 4.90\r
\n" ); document.write( "\n" ); document.write( "Can you show me how to do it?
\n" ); document.write( "
There's no NEED to multiply the 2nd equation by 100 as 1 person suggested. Don't let anyone tell you RUBBISH!
\n" ); document.write( "d + q = 40____d = 40 - q ------ eq(i)
\n" ); document.write( ".1d + .25q = 4.9 ------ eq (ii)
\n" ); document.write( "The EASIEST \"route\" is the one that involves substituting 40 - q for d in eq (ii).
\n" ); document.write( "This gives: .1(40 - q) + .25q = 4.9
\n" ); document.write( "4 - .1q + .25q = 4.9
\n" ); document.write( ".15q = .9
\n" ); document.write( "Number of quarters, or \"highlight_green%28matrix%281%2C5%2C+q%2C+%22=%22%2C+.9%2F.15%2C+%22=%22%2C+6%29%29\"
\n" ); document.write( "Now, substitute 6 for q in eq (i) to get \"d,\" the number of dimes.
\n" ); document.write( "There's ABSOLUTELY nothing wrong with working with decimals! \n" ); document.write( "
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