document.write( "Question 705935: Diana has been saving nickels and
\n" ); document.write( "dimes. She opened up her piggy bank and determined
\n" ); document.write( "that it contained 48 coins worth $4.50. Determine
\n" ); document.write( "how many nickels and dimes were in the piggy bank. \n" ); document.write( "

Algebra.Com's Answer #434922 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+n+\"$ = number of nickels she has
\n" ); document.write( "Let $\"+d+\"$ = number of dimes she has
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"+n+%2B+d+=+48+\"$
\n" ); document.write( "(2) $\"+5n+%2B+10d+=+450+\"$ ( in cents )
\n" ); document.write( "---------------------
\n" ); document.write( "Multiply both sides of (1) by $\"+5+\"$
\n" ); document.write( "and subtract (1) from (2)
\n" ); document.write( "(2) $\"+5n+%2B+10d+=+450+\"$
\n" ); document.write( "(1) $\"+-5n+-+5d+=+-240+\"$
\n" ); document.write( " $\"+5d+=+210+\"$
\n" ); document.write( " $\"+d+=+42+\"$
\n" ); document.write( "and, since
\n" ); document.write( "(1) $\"+n+%2B+d+=+48+\"$
\n" ); document.write( "(1) $\"+n+%2B+42+=+48+\"$
\n" ); document.write( "(1) $\"+n+=+6+\"$
\n" ); document.write( "The number of nickels she has is 6
\n" ); document.write( "The number of dimes she has is 42
\n" ); document.write( "check answer:
\n" ); document.write( "(2) $\"+5%2A6+%2B+10%2A42+=+450+\"$
\n" ); document.write( "(2) $\"+30+%2B+420+=+450+\"$
\n" ); document.write( "(2) $\"+450+=+450+\"$
\n" ); document.write( "OK \n" ); document.write( "

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