document.write( "Question 958384: The total value of the nickels and dimes in a coin bank is $2.50. if the nickels were dimes and the dimes were nickels, the total value of the coins would be $3.05. find the number of dimes and the number of nickeles in the bank. \n" ); document.write( "

Algebra.Com's Answer #585750 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"n+\"$ = number of nickels
\n" ); document.write( "Le $\"+d+\"$ = number of dimes
\n" ); document.write( "----------------------------
\n" ); document.write( "(1) $\"+5n+%2B+10d+=+250+\"$ ( in cents )
\n" ); document.write( "(2) $\"+10n+%2B+5d+=+305+\"$
\n" ); document.write( "Multiply both sides of (1) by $\"2\"$ and
\n" ); document.write( "subtract (2) from (1)
\n" ); document.write( "(1) $\"+10n+%2B+20d+=+500+\"$
\n" ); document.write( "(2) $\"+-10n+-+5d+=+-305+\"$
\n" ); document.write( "------------------------
\n" ); document.write( " $\"+15d+=+195+\"$
\n" ); document.write( " $\"+d+=+13+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+5n+%2B+10%2A13+=+250+\"$
\n" ); document.write( "(1) $\"+5n+%2B+130=+250+\"$
\n" ); document.write( "(1) $\"+5n+=+120+\"$
\n" ); document.write( "(1) $\"+n+=+24+\"$
\n" ); document.write( "-----------------
\n" ); document.write( "There are 24 nickels and 13 dimes
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"+10%2A24+%2B+5%2A13+=+305+\"$
\n" ); document.write( "(2) $\"+240+%2B+65+=+305+\"$
\n" ); document.write( "(2) $\"+305+=+305+\"$
\n" ); document.write( "OK\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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