document.write( "Question 677008: Can someone please walk me through the steps to better understand this problem? Thank you\r
\n" ); document.write( "\n" ); document.write( "Joe has a collection of nickels and dimes that is worth $8.55. If the number of dimes was tripled and the number of nickels was decreased by 2, the value of the coins would be $23.45. How many nickels and dimes does he have? \n" ); document.write( "

Algebra.Com's Answer #420652 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"+n+\"$ = the number of nickels
\n" ); document.write( "Let $\"+d+\"$ = the number of dimes
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"+5n+%2B+10d+=+855+\"$ ( in cents )
\n" ); document.write( "(2) $\"+5%2A%28+n+-+2+%29+%2B+10%2A%28+3d+%29+=+2345+\"$ ( in cents )
\n" ); document.write( "--------------------------------
\n" ); document.write( "(2) $\"+5n+-+10+%2B+30d++=+2345+\"$
\n" ); document.write( "(2) $\"+5n+%2B+30d+=+2355+\"$
\n" ); document.write( "(2) $\"+n+%2B+6d+=+471+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+n+%2B+2d+=+171+\"$
\n" ); document.write( "-------------------
\n" ); document.write( "Subtract (1) from (2)
\n" ); document.write( "(2) $\"+n+%2B+6d+=+471+\"$
\n" ); document.write( "(1) $\"+-n+-+2d+=+-171+\"$
\n" ); document.write( " $\"+4d+=+300+\"$
\n" ); document.write( " $\"+d+=+75+\"$
\n" ); document.write( "and, since
\n" ); document.write( "(1) $\"+n+%2B+2d+=+171+\"$
\n" ); document.write( "(1) $\"+n+%2B+2%2A75+=+171+\"$
\n" ); document.write( "(1) $\"+n+=+171+-+150+\"$
\n" ); document.write( "(1) $\"+n+=+21+\"$
\n" ); document.write( "Joe has 21 nickels and 75 dimes
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"+5%2A%28+n+-+2+%29+%2B+10%2A%28+3d+%29+=+2345+\"$
\n" ); document.write( "(2) $\"+5%2A%28+21+-+2+%29+%2B+10%2A%28+3%2A75+%29+=+2345+\"$
\n" ); document.write( "(2) $\"+5%2A19+%2B+10%2A225+=+2345+\"$
\n" ); document.write( "(2) $\"+95+%2B+2250+=+2345+\"$
\n" ); document.write( "(2) $\"+2345+=+2345+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+5n+%2B+10d+=+855+\"$
\n" ); document.write( "(1) $\"+5%2A21+%2B+10%2A75+=+855+\"$
\n" ); document.write( "(1) $\"+105+%2B+750+=+855+\"$
\n" ); document.write( "(1) $\"+855+=+855+\"$
\n" ); document.write( "OK\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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