document.write( "Question 1060865: I'm having trouble understanding how they got the answer this is what the example shows
\n" ); document.write( " A cashier has 90 dimes and nickels in his cash drawer. If the total value of the coins is $6.40,how many nickels are in the drawer?
\n" ); document.write( "5x+10(90-x)=640
\n" ); document.write( "5x+900-10x=640
\n" ); document.write( "-5x=-260
\n" ); document.write( "5x=260
\n" ); document.write( "X=52
\n" ); document.write( "How did they come up with this solution?
\n" ); document.write( "

Algebra.Com's Answer #675720 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
I do this the \" long way \" which might
\n" ); document.write( "be easier to understand
\n" ); document.write( "-----------------------
\n" ); document.write( "Let \"+n+\" = number of nickels
\n" ); document.write( "Let \"+d+\" = number of dimes
\n" ); document.write( "--------------------------------
\n" ); document.write( "(1) \"+n+%2B+d+=+90+\"
\n" ); document.write( "(2) \"+5n+%2B+10d+=+640+\" ( in cents )
\n" ); document.write( "-----------------------------------
\n" ); document.write( "Multiply both sides of (1) by \"+5+\" and
\n" ); document.write( "subtract (1) from (2)
\n" ); document.write( "(2) \"+5n+%2B+10d+=+640+\"
\n" ); document.write( "(1) \"+-5n+-+5d+=+-450+\"
\n" ); document.write( "-------------------------
\n" ); document.write( "\"+5d+=+190+\"
\n" ); document.write( "\"+d+=+38+\"
\n" ); document.write( "and
\n" ); document.write( "(1) \"+n+%2B+d+=+90+\"
\n" ); document.write( "(1) \"+n+%2B+38+=+90+\"
\n" ); document.write( "(1) \"+n+=+52+\"
\n" ); document.write( "There are 52 nickels and 38 dimes
\n" ); document.write( "( same as their answer, since \"+X+\" is number of nickels )
\n" ); document.write( "---------------------------
\n" ); document.write( "check answer:
\n" ); document.write( "(2) \"+5n+%2B+10d+=+640+\"
\n" ); document.write( "(2) \"+5%2A52+%2B+10%2A38+=+640+\"
\n" ); document.write( "(2) \"+260+%2B+380+=+640+\"
\n" ); document.write( "(2) \"+640+=+640+\"
\n" ); document.write( "OK
\n" ); document.write( "
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