document.write( "Question 662999: I have $1 in coins. One-fifth of the coins are dimes, two-fifteenths are nickels, and two-thirds are pennies. How many of each coin do I have?\r
\n" ); document.write( "\n" ); document.write( "I know that I have 30 coins with 6 dimes, 4 nickels and 20 pennies. I can't seem to figure out an equation to show how I arrived at my answer. \n" ); document.write( "
Algebra.Com's Answer #412579 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
I have $1 in coins. One-fifth of the coins are dimes, two-fifteenths are nickels, and two-thirds are pennies. How many of each coin do I have?
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\n" ); document.write( "Note: (1/5) + (2/15) + (2/3) = (3/15) + (2/15) + (10/15) = 15/15 = 1
\n" ); document.write( "Equations:
\n" ); document.write( "Value Equation: p + 5n + 10d = 100 cents
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\n" ); document.write( "Let \"x\" be the number of coins.
\n" ); document.write( "p = (2/3)x
\n" ); document.write( "n = (2/15)x
\n" ); document.write( "d = (1/5)x
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\n" ); document.write( "Substitute and solve for \"x\"
\n" ); document.write( "(2/3)x + 5(2/15)x + 10(1/5)x = 100
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\n" ); document.write( "Multiply thru by 15:
\n" ); document.write( "10x + 10x + 30x = 1500
\n" ); document.write( "50x = 1500
\n" ); document.write( "x = 30 (total # of coins)
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "
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