document.write( "Question 906156: yolanada has some coins in nickels and dimes. She has six times as many nickels as dimes. If she had 6 more coins of each, she would have $3.30. How many of each coin does she have now \n" ); document.write( "

Algebra.Com's Answer #549648 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) $\"+n+=+6d+\"$
\n" ); document.write( "(2) $\"+5%2A%28+n+%2B+6+%29+%2B+10%2A%28+d+%2B+6+%29+=+330+\"$ ( in cents )
\n" ); document.write( "----------------------------------------------
\n" ); document.write( "Substitute (1) into (2)
\n" ); document.write( "(2) $\"+5%2A%28+6d+%2B+6+%29+%2B+10%2A%28+d+%2B+6+%29+=+330+\"$
\n" ); document.write( "(2) $\"+30d+%2B+30+%2B+10d+%2B+60+=+330+\"$
\n" ); document.write( "(2) $\"+40d+=+330+-+90+\"$
\n" ); document.write( "(2) $\"+40d+=+240+\"$
\n" ); document.write( "(2) $\"+d+=+6+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+n+=+6d+\"$
\n" ); document.write( "(1) $\"+n+=+6%2A6+\"$
\n" ); document.write( "(1) $\"+n+=+36+\"$
\n" ); document.write( "-----------------
\n" ); document.write( "She has 36 nickels and 6 dimes
\n" ); document.write( "-----------------------------
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"+5%2A%28+n+%2B+6+%29+%2B+10%2A%28+d+%2B+6+%29+=+330+\"$
\n" ); document.write( "(2) $\"+5%2A%28+36+%2B+6+%29+%2B+10%2A%28+6+%2B+6+%29+=+330+\"$
\n" ); document.write( "(2) $\"+5%2A42+%2B+10%2A12+=+330+\"$
\n" ); document.write( "(2) $\"+210+%2B+120+=+330+\"$
\n" ); document.write( "(2) $\"+330+=+330+\"$
\n" ); document.write( "OK \n" ); document.write( "

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