document.write( "Question 808297: Ava has 52 coins. The value of her coins (only dimes and nickels) is $4.15. Find the number of nickels and the number of dimes. \n" ); document.write( "

Algebra.Com's Answer #486951 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+n+\"$ = number of nickels
\n" ); document.write( "Let $\"+d+\"$ = number of dimes
\n" ); document.write( "--------------
\n" ); document.write( "(1) $\"+5n+%2B+10d+=+415+\"$ ( in cents )
\n" ); document.write( "(2) $\"+n+%2B+d+=+52+\"$
\n" ); document.write( "-----------------
\n" ); document.write( "Multiply both sides of (2) by $\"+5+\"$ and
\n" ); document.write( "subtract (2) from (1)
\n" ); document.write( "(1) $\"+5n+%2B+10d+=+415+\"$
\n" ); document.write( "(2) $\"+-5n+-+5d+=+-260+\"$
\n" ); document.write( " $\"+5d+=+155+\"$
\n" ); document.write( " $\"+d+=+31+\"$
\n" ); document.write( "and, since
\n" ); document.write( "(2) $\"+n+%2B+d+=+52+\"$
\n" ); document.write( "(2) $\"+n+=+21+\"$
\n" ); document.write( "-------------
\n" ); document.write( "There are 21 nickels and 31 dimes
\n" ); document.write( "check:
\n" ); document.write( "(1) $\"+5%2A21+%2B+10%2A31+=+415+\"$
\n" ); document.write( "(1) $\"+105+%2B+310+=+415+\"$
\n" ); document.write( "(1) $\"+415+=+415+\"$
\n" ); document.write( "OK\r
\n" ); document.write( "
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