document.write( "Question 909718: A piggy bank contains $12.75 in nickels, dimes, and quarters. There are twice as many dimes as nickels, and 3 fewer quarters than dimes. How many of each types of coins are there? \n" ); document.write( "

Algebra.Com's Answer #551994 by stanbon(75887) $\"\"$ $\"About$

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A piggy bank contains $12.75 in nickels, dimes, and quarters. There are twice as many dimes as nickels, and 3 fewer quarters than dimes. How many of each types of coins are there?
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\n" ); document.write( "Equations::
\n" ); document.write( "Value:: 5n + 10d + 25q = 1275 cents
\n" ); document.write( "Quantity:: d = 2n
\n" ); document.write( "Quantity:: q = d-3
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\n" ); document.write( "Substitute and solve for \"n\":
\n" ); document.write( "5n + 10(2n) + 25(2n-3) = 1275
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\n" ); document.write( "5n + 20n + 50n - 150 = 1275
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\n" ); document.write( "75n = 1425
\n" ); document.write( "n = 19 (# of nickels)
\n" ); document.write( "d = 2n = 38 (# of dimes)
\n" ); document.write( "q = d-3 = 35 (# of quarters)
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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