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 #807882 by greenestamps(13200)\"\" \"About 
You can put this solution on YOUR website!


\n" ); document.write( "For one thing, I would definitely recommend using cents instead of dollars to write your second equation. Then you have

\n" ); document.write( "d+q=40
\n" ); document.write( "10d+25q=490

\n" ); document.write( "Multiply the first equation by 10 and then compare the two equations, giving you the number of quarters, q:

\n" ); document.write( "10d+10q=400
\n" ); document.write( "10d+25q=490

\n" ); document.write( "15q=90
\n" ); document.write( "q = 6

\n" ); document.write( "Then d+q=40 gives you d=34.

\n" ); document.write( "ANSWER: 6 quarters and 34 dimes

\n" ); document.write( "CHECK: 6(25)+34(10) = 150+340 = 490

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