document.write( "Question 253612: A child is holding nickels, dimes and quarters in his hand that add up to $4.95 There are the same number of dimes and quarters but there are twice as many nickels as dimes. How many nickels are there? \n" ); document.write( "

Algebra.Com's Answer #185970 by drk(1908) $\"\"$ $\"About$

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There are a few equations here. Let N = nickel, D = dime, and Q = quarter.
\n" ); document.write( "First, the money equation:
\n" ); document.write( "(i) $\"5N+%2B+10D+%2B+25Q+=+495\"$
\n" ); document.write( "Second,
\n" ); document.write( "(ii) $\"D+=+Q\"$
\n" ); document.write( "Third,
\n" ); document.write( "(iii) $\"N+=+2D\"$
\n" ); document.write( "We want to get everything into the same variable. Turn everything into D. From substitution of (ii) and (iii) into (i), we get
\n" ); document.write( "(iv) $\"5%282D%29+%2B+10D+%2B++25%28D%29+=+495\"$
\n" ); document.write( "Solving for D, we get
\n" ); document.write( "(v) $\"10D+%2B+10D+%2B+25D+=+495\"$
\n" ); document.write( " $\"45D+=+495\"$
\n" ); document.write( "dividing by 45, we get
\n" ); document.write( " $\"D+=+11%7D%7D%0D%0AThis+means+that%0D%0A%7B%7B%7BN+=+22\"$
\n" ); document.write( "and
\n" ); document.write( " $\"+Q+=+11\"$
\n" ); document.write( " \n" ); document.write( "

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