document.write( "Question 87411: 1. Jordan has a total of one hundred thirty nickels, dimes and quarters. He has three and a half times as many nickels as dimes, and one-half as many quarters as dimes. How much money does he have?\r
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\n" ); document.write( "\n" ); document.write( "2. Austin has nickels, dimes and quarters. He has a total of $17.65. He has eleven fewer quarters than nickels and six times as many dimes as quarters. How many of each coin does he have? \n" ); document.write( "

Algebra.Com's Answer #63349 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
n = number of nickels
\n" ); document.write( "d = number of dimes
\n" ); document.write( "q = number of quarters
\n" ); document.write( " $\"n+%2B+d+%2B+q+=+130\"$
\n" ); document.write( " $\"n+=+3.5q\"$
\n" ); document.write( " $\"q+=+.5d\"$
\n" ); document.write( " $\"3.5d+%2B+d+%2B+.5d+=+130\"$
\n" ); document.write( " $\"5d+=+130\"$
\n" ); document.write( " $\"d+=+26\"$
\n" ); document.write( " $\"n+=+3.5%2A26\"$
\n" ); document.write( " $\"n+=+91\"$
\n" ); document.write( " $\"q+=+.5%2A26\"$
\n" ); document.write( " $\"q+=+13\"$
\n" ); document.write( "To find how much money he has, find $\"5n\"$ , $\"10d\"$ , and $\"25q\"$
\n" ); document.write( " $\"91%2A5+%2B+26%2A10+%2B+13%2A25\"$
\n" ); document.write( " $\"455+%2B+260+%2B+325\"$
\n" ); document.write( "The answer is 1040 cents, or $10.40
\n" ); document.write( "--------------------------------
\n" ); document.write( "In this case,
\n" ); document.write( "n = number of nickels
\n" ); document.write( "d = number of dimes
\n" ); document.write( "q = number of quarters
\n" ); document.write( "as before, but what is known is how much money he has
\n" ); document.write( "and not the total number of coins
\n" ); document.write( " $\"10d+%2B+5n+%2B+25q+=+1765\"$ (in cents)
\n" ); document.write( " $\"q+=+n+-+11\"$
\n" ); document.write( " $\"d+=+6q\"$
\n" ); document.write( "Solve the 1st equation for n
\n" ); document.write( " $\"n+=+q+%2B+11\"$
\n" ); document.write( "Now find d and n in $\"10d+%2B+5n+%2B+25q+=+1765\"$ in terms of q
\n" ); document.write( " $\"10%2A6q+%2B+5%28q+%2B+11%29+%2B+25q+=+1765\"$
\n" ); document.write( " $\"60q+%2B+5q+%2B+25q+%2B+55+=+1765\"$
\n" ); document.write( " $\"90q+=+1710\"$
\n" ); document.write( " $\"q+=+19\"$
\n" ); document.write( " $\"d+=+6q\"$
\n" ); document.write( " $\"d+=+114\"$
\n" ); document.write( " $\"n+=+q+%2B+11\"$
\n" ); document.write( " $\"n+=+19+%2B+11\"$
\n" ); document.write( " $\"n+=+30\"$
\n" ); document.write( "The answer is 19 quarters, 114 dimes, and 30 nickels
\n" ); document.write( "You can check answer by plugging values for d, n, and q into
\n" ); document.write( "the original equation \n" ); document.write( "

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