document.write( "Question 1000724: In a collection of dimes, nickels, and quarters, there are twice as many dimes as nickels and 3 fewer quarters than dimes. If the total value of the coins $4.50, how many of each type of coin are there? \n" ); document.write( "

Algebra.Com's Answer #618069 by stanbon(75887) $\"\"$ $\"About$

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In a collection of dimes, nickels, and quarters, there are twice as many dimes as nickels and 3 fewer quarters than dimes. If the total value of the coins $4.50, how many of each type of coin are there?
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\n" ); document.write( "Equations:
\n" ); document.write( "d = 2n
\n" ); document.write( "q = d-3
\n" ); document.write( "5n + 10d + 25q = 450
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\n" ); document.write( "Substitute for \"n\" and for \"q\" and solve for \"d\"::
\n" ); document.write( "5(d/2) + 10d + 25(d-3) = 450
\n" ); document.write( "------
\n" ); document.write( "(5/2)d + 10d + 25d = 525
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\n" ); document.write( "37.5d = 525
\n" ); document.write( "d = 14 (# of dimes)
\n" ); document.write( "n = (d/2) = 7 (# of nickels)
\n" ); document.write( "q = d-3 = 11 (# of quarters)
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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