document.write( "Question 344080: You have 30 coins. You have nickels, twice as many dimes as nickels and quarters. You have $5.50 total. How many of each coin do you have? \n" ); document.write( "

Algebra.Com's Answer #246179 by Fombitz(32388) $\"\"$ $\"About$

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1. $\"N%2BD%2BQ=30\"$
\n" ); document.write( "2. $\"D=2N\"$
\n" ); document.write( "3. $\"5N%2B10D%2B25Q=550\"$
\n" ); document.write( "Substitute eq. 2 into eq. 1 and eq. 3.
\n" ); document.write( " $\"N%2B2N%2BQ=30\"$
\n" ); document.write( "4. $\"3N%2BQ=30\"$
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\n" ); document.write( " $\"5N%2B10%282N%29%2B25Q=550\"$
\n" ); document.write( " $\"5N%2B20N%2B25Q=550\"$
\n" ); document.write( " $\"25N%2B25Q=550\"$
\n" ); document.write( "5. $\"N%2BQ=22\"$
\n" ); document.write( "From eq. 4,
\n" ); document.write( " $\"2N%2B%28N%2BQ%29=30\"$
\n" ); document.write( "Substitute from eq. 5,
\n" ); document.write( " $\"2N%2B22=30\"$
\n" ); document.write( " $\"2N=8\"$
\n" ); document.write( " $\"highlight%28N=4%29\"$
\n" ); document.write( ".
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\n" ); document.write( ".
\n" ); document.write( " $\"D=2N\"$
\n" ); document.write( " $\"D=2%284%29\"$
\n" ); document.write( " $\"highlight%28D=8%29\"$
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\n" ); document.write( "Then from eq. 1,
\n" ); document.write( " $\"4%2B8%2BQ=30\"$
\n" ); document.write( " $\"highlight%28Q=18%29\"$ \n" ); document.write( "

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