document.write( "Question 916434: I have a box of nickels and dimes. When I counted the money, I was surprised to see that I have exactly $10. Then it occurred to me that if my nickels were dimes and my dimes were quarters, I would have $21.25. How many dimes and nickels are in my box? \n" ); document.write( "
Algebra.Com's Answer #556045 by josmiceli(19441)\"\" \"About 
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Let \"+n+\" = the number of nickels in the box
\n" ); document.write( "Let \"+d+\" = the number of dimes in the box
\n" ); document.write( "----------------
\n" ); document.write( "(1) \"+5n+%2B+10d+=+1000+\" ( in cents )
\n" ); document.write( "----------------
\n" ); document.write( "Also given:
\n" ); document.write( "(2) \"+10n+%2B+25d+=+2125+\"
\n" ); document.write( "--------------------------
\n" ); document.write( "(1) \"+n+%2B+2d+=+200+\"
\n" ); document.write( "(2) \"+2n+%2B+5d+=+425+\"
\n" ); document.write( "---------------------
\n" ); document.write( "Multiply both sides of (1) by \"+2+\"
\n" ); document.write( "and subtract (1) from (2)
\n" ); document.write( "(2) \"+2n+%2B+5d+=+425+\"
\n" ); document.write( "(1) \"+-2n+-+4d+=+-400+\"
\n" ); document.write( "----------------------
\n" ); document.write( "\"+d+=+25+\"
\n" ); document.write( "and
\n" ); document.write( "(1) \"+n+%2B+2d+=+200+\"
\n" ); document.write( "(1) \"+n+%2B+2%2A25+=+200+\"
\n" ); document.write( "(1) \"+n+=+200+-+50+\"
\n" ); document.write( "(1) \"+n+=+150+\"
\n" ); document.write( "----------------
\n" ); document.write( "There are 150 nickels and 25 dimes in the box
\n" ); document.write( "check:
\n" ); document.write( "(1) \"+5%2A150+%2B+10%2A25+=+1000+\"
\n" ); document.write( "(1) \"+750+%2B+250+=+1000+\"
\n" ); document.write( "(1) \"+1000+=+1000+\"
\n" ); document.write( "and
\n" ); document.write( "(2) \"+10%2A150+%2B+25%2A25+=+2125+\"
\n" ); document.write( "(2) \"+1500+%2B+625+=+2125+\"
\n" ); document.write( "(2) \"+2125+=+2125+\"
\n" ); document.write( "OK
\n" ); document.write( "
\n" ); document.write( "
\n" );