document.write( "Question 837169: A purse contained $3.90 in nickels, quaerters and half-dollars. the number of half-dollars exceeded 1/3 of the number of quarters by 2. There were 3/4 as many quarters as nickels. How many pieces of each kind of coin were in the purse? \n" ); document.write( "

Algebra.Com's Answer #504514 by lwsshak3(11628) $\"\"$ $\"About$

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A purse contained $3.90 in nickels, quaerters and half-dollars. the number of half-dollars exceeded 1/3 of the number of quarters by 2. There were 3/4 as many quarters as nickels. How many pieces of each kind of coin were in the purse?
\n" ); document.write( "***
\n" ); document.write( "let x=number of quarters
\n" ); document.write( "(x/3)+2=number of half-dollars
\n" ); document.write( "4x/3=number of nickels
\n" ); document.write( "..
\n" ); document.write( " $\".25x%2B.50%28x%2F3%2B2%29%2B.05%284x%2F3%29=3.90\"$
\n" ); document.write( " $\".25x%2B.50x%2F3%2B1%2B.2x%2F3%29=3.90\"$
\n" ); document.write( "LCD:3
\n" ); document.write( ".75x+.5x+3+.2x=11.7
\n" ); document.write( "1.45x=8.7
\n" ); document.write( "x=6
\n" ); document.write( "(x/3)+2=4
\n" ); document.write( "4x/3=8
\n" ); document.write( "...
\n" ); document.write( "number of quarters=6
\n" ); document.write( "number of half-dollars=4
\n" ); document.write( "number of nickels=8
\n" ); document.write( "..
\n" ); document.write( "note: This is a revision to a previous solution, changing the LCD from 12 to 3. No change to the answer.\r
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