document.write( "Question 723641: Lee Han recieved $2.50 on his fourth birthday when he put the money in the bank he put 1 more dime then quarters and 2 more Nichols then quarters and dimes together how many coins of each kind did he put in his bank. \n" ); document.write( "

Algebra.Com's Answer #443376 by josmiceli(19441) $\"\"$ $\"About$

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given:
\n" ); document.write( "(1) $\"+n+=+q+%2B+d+%2B+2+\"$
\n" ); document.write( "(2) $\"+d+=+q+%2B+1+\"$
\n" ); document.write( "(3) $\"+5n+%2B+10d+%2B+25q+=+250+\"$ ( in cents )
\n" ); document.write( "--------------
\n" ); document.write( "Substitute (1) into (3)
\n" ); document.write( "(3) $\"+5%2A%28+d+%2B+q+%2B+2+%29+%2B+10d+%2B+25q+=+250+\"$
\n" ); document.write( "(3) $\"+5d+%2B+5q+%2B+10+%2B+10d+%2B+25q+=+250+\"$
\n" ); document.write( "(3) $\"+15d+%2B+30q+=+240+\"$
\n" ); document.write( "(3) $\"+3d+%2B+6q+=+48+\"$
\n" ); document.write( "Substitute (2) into (3)
\n" ); document.write( "(3) $\"+3%2A%28+q+%2B+1+%29+%2B+6q+=+48+\"$
\n" ); document.write( "(3) $\"+3q+%2B+3+%2B+6q+=+48+\"$
\n" ); document.write( "(3) $\"+9q+=+45+\"$
\n" ); document.write( "(3) $\"+q+=+5+\"$
\n" ); document.write( "and, since
\n" ); document.write( "(2) $\"+d+=+q+%2B+1+\"$
\n" ); document.write( "(2) $\"+d+=+5+%2B+1+\"$
\n" ); document.write( "(2) $\"+d+=+6+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+n+=+q+%2B+d+%2B+2+\"$
\n" ); document.write( "(1) $\"+n+=+5+%2B+6+%2B+2+\"$
\n" ); document.write( "(1) $\"+n+=+13+\"$
\n" ); document.write( "There are 13 nickels, 6 dimes and 5 quarters
\n" ); document.write( "check:
\n" ); document.write( "(3) $\"+5n+%2B+10d+%2B+25q+=+250+\"$
\n" ); document.write( "(3) $\"+5%2A13+%2B+10%2A6+%2B+25%2A5+=+250+\"$
\n" ); document.write( "(3) $\"+65+%2B+60+%2B+125+=+250+\"$
\n" ); document.write( "(3) $\"+250+=+250+\"$
\n" ); document.write( "OK\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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