document.write( "Question 1050005: Dan opened up his piggy bank and found a total of 35 coins - nickels, dimes, quarters. He has 5 more nickels than dimes and a total of $6. How many of each coin were in his bank?\r
\n" ); document.write( "\n" ); document.write( "dimes = d
\n" ); document.write( "nickels = d+5
\n" ); document.write( "quarters = 35-d-(d+5)\r
\n" ); document.write( "\n" ); document.write( "I know it is .05(d+5); .10d; I think the quarters is .25(35-2d-5),
\n" ); document.write( "I know the sum of all 3 coins = $6
\n" ); document.write( "I know to multiply by 100 to get rid of the decimals\r
\n" ); document.write( "\n" ); document.write( "but I'm not getting it to come out correctly.\r
\n" ); document.write( "\n" ); document.write( "thanks for your help!
\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #665591 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( "Let $\"+q+\"$ = the number of quarters
\n" ); document.write( "----------------------------------
\n" ); document.write( "(1) $\"+n+%2B+d+%2B+q+=+35+\"$
\n" ); document.write( "(2) $\"+.05n+%2B+.1d+%2B+.25q+=+6+\"$
\n" ); document.write( "(3) $\"+n+=+d+%2B+5+\"$
\n" ); document.write( "----------------------------------
\n" ); document.write( "(2) $\"+5n+%2B+10d+%2B+25q+=+600+\"$
\n" ); document.write( "(2) $\"+n+%2B+2d+%2B+5q+=+120+\"$
\n" ); document.write( "-----------------------------------
\n" ); document.write( "(2) $\"+d+%2B+5+%2B+2d+%2B+5q+=+120+\"$
\n" ); document.write( "(2) $\"+3d+%2B+5q+=+115+\"$
\n" ); document.write( "-----------------------------------
\n" ); document.write( "(1) $\"+d+%2B+5+%2B+d+%2B+q+=+35+\"$
\n" ); document.write( "(1) $\"+2d+%2B+q+=+30+\"$
\n" ); document.write( "Multiply this result by $\"+5+\"$
\n" ); document.write( "and subtract (2) from (1)
\n" ); document.write( "----------------------------
\n" ); document.write( "(1) $\"+10d+%2B+5q+=+150+\"$
\n" ); document.write( "(2) $\"+-3d+-+5q+=+-115+\"$
\n" ); document.write( "-------------------------
\n" ); document.write( " $\"+7d+=+35+\"$
\n" ); document.write( " $\"+d+=+5+\"$
\n" ); document.write( "and
\n" ); document.write( "(3) $\"+n+=+d+%2B+5+\"$
\n" ); document.write( "(3) $\"+n+=+5+%2B+5+\"$
\n" ); document.write( "(3) $\"+n+=+10+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+n+%2B+d+%2B+q+=+35+\"$
\n" ); document.write( "(1) $\"+10+%2B+5+%2B+q+=+35+\"$
\n" ); document.write( "(1) $\"+q+=+20+\"$
\n" ); document.write( "----------------------------
\n" ); document.write( "There are 10 nickels, 5 dimes, 20 quarters
\n" ); document.write( "---------------------------------------
\n" ); document.write( "(2) $\"+.05n+%2B+.1d+%2B+.25q+=+6+\"$
\n" ); document.write( "(2) $\"+.05%2A10+%2B+.1%2A5+%2B+.25%2A20+=+6+\"$
\n" ); document.write( "(2) $\"+.5+%2B+.5+%2B+5+=+6+\"$
\n" ); document.write( "(2) $\"+6+=+6+\"$
\n" ); document.write( "---------------------
\n" ); document.write( "I like to use a different variable for each
\n" ); document.write( "type of coin. All through the calculations,
\n" ); document.write( "I am sure of what I am looking at. Then, at the
\n" ); document.write( "end I can put the results all in terms of either
\n" ); document.write( " $\"n\"$ , $\"d\"$ , or $\"q\"$ \r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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