document.write( "Question 919186: Question: After closing down his lemonade stand, David finds that he has 3 and 1/2 times as many dimes as quarters. Their combined value is $15.60. How many dimes does he have?\r
\n" ); document.write( "\n" ); document.write( "This is the last question of my assignment and I have already done this question multiple times but I cannot seem to find the answer. I was told the answer was 91, but I do not understand how the answer came to be.\r
\n" ); document.write( "\n" ); document.write( "How is the answer 91?\r
\n" ); document.write( "\n" ); document.write( "Help would gladly be needed!
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Algebra.Com's Answer #557523 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Let \"+d+\" = number of dimes he has
\n" ); document.write( "Let \"+q+\" = number of quarters he has
\n" ); document.write( "----------------------------------
\n" ); document.write( "(1) \"+d+=+3.5q+\"
\n" ); document.write( "(2) \"+10d+%2B+25q+=+1560+\" ( in cents )
\n" ); document.write( "-----------------------------------
\n" ); document.write( "By substitution:
\n" ); document.write( "(2) \"+10%2A3.5q+%2B+25q+=+1560+\"
\n" ); document.write( "(2) \"+35q+%2B+25q+=+1560+\"
\n" ); document.write( "(2) \"+60q+=+1560+\"
\n" ); document.write( "(2) \"+q+=+26+\"
\n" ); document.write( "---------------
\n" ); document.write( "and
\n" ); document.write( "(1) \"+d+=+3.5q+\"
\n" ); document.write( "(1) \"+d+=+3.5%2A26+\"
\n" ); document.write( "(1) \"+d+=+91+\"
\n" ); document.write( "----------------
\n" ); document.write( "There are 91 dimes
\n" ); document.write( "check:
\n" ); document.write( "(2) \"+10d+%2B+25q+=+1560+\"
\n" ); document.write( "(2) \"+10%2A91+%2B+25%2A26+=+1560+\"
\n" ); document.write( "(2) \"+910+%2B+650+=+1560+\"
\n" ); document.write( "(2) \"+1560+=+1560+\"
\n" ); document.write( "OK
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