document.write( "Question 183213: Sam found a number of nickels,dimes, and quarters in his room. He found three more dimes than nickels, but twice as many quarters as dimes. The total value of the coins was $5.05. How many coins of each type did Sam find? Please show me the steps you took to get your answer; I am totally lost! \n" ); document.write( "
Algebra.Com's Answer #137564 by josmiceli(19441)\"\" \"About 
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Let \"n\"= the number of nickels he found
\n" ); document.write( "Let \"d\"= the number of dimes he found
\n" ); document.write( "Let \"q\"= the number of quarters he found
\n" ); document.write( "given:
\n" ); document.write( "(1) \"d+=+n+%2B+3\"
\n" ); document.write( "(2) \"q+=+2d\"
\n" ); document.write( "(3) \"5n+%2B+10d+%2B+25q+=+505\" (this is in pennies)
\n" ); document.write( "Substitute (1) and (2) in (3)
\n" ); document.write( "(3) \"5n+%2B+10d+%2B+25q+=+505\"
\n" ); document.write( "(3) \"5n+%2B+10%2A%28n+%2B+3%29+%2B+25%2A2d+=+505\"
\n" ); document.write( "(3) \"5n+%2B+10n+%2B+30+%2B+50d+=+505\"
\n" ); document.write( "(3) \"15n+%2B+50d+=+475\"
\n" ); document.write( "Substitute (1) in (3)
\n" ); document.write( "(3) \"15n+%2B+50%2A%28n+%2B+3%29+=+475\"
\n" ); document.write( "(3) \"15n+%2B+50n+%2B+150+=+475\"
\n" ); document.write( "(3) \"65n+=+325\"
\n" ); document.write( "(3) \"n+=+5\"
\n" ); document.write( "Plug this back into (1)
\n" ); document.write( "(1) \"d+=+n+%2B+3\"
\n" ); document.write( "(1) \"d+=+5+%2B+3\"
\n" ); document.write( "(1) \"d+=+8\"
\n" ); document.write( "And from (2)
\n" ); document.write( "(2) \"q+=+2d\"
\n" ); document.write( "(2) \"q+=+16\"
\n" ); document.write( "Sam found 5 nickels, 8 dimes, and 16 quarters
\n" ); document.write( "check:
\n" ); document.write( "(1) \"d+=+n+%2B+3\"
\n" ); document.write( "\"8+=+5+%2B+3\"
\n" ); document.write( "\"8+=+8\"
\n" ); document.write( "(2) \"q+=+2d\"
\n" ); document.write( "\"16+=+2%2A8\"
\n" ); document.write( "\"16+=+16\"
\n" ); document.write( "(3) \"5n+%2B+10d+%2B+25q+=+505\"
\n" ); document.write( "\"5%2A5+%2B+10%2A8+%2B+25%2A16+=+505\"
\n" ); document.write( "\"25+%2B+80+%2B+400+=+505\"
\n" ); document.write( "\"505+=+505\"
\n" ); document.write( "OK
\n" ); document.write( "
\n" );