document.write( "Question 183853: A coin bank contains nickels, dimes, and quarters totaling $5.45. If there are twice as many quarters as dimes and 11 more nickels than quarters, how many of each coin are in the bank? \n" ); document.write( "
Algebra.Com's Answer #137949 by stanbon(75887)\"\" \"About 
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A coin bank contains nickels, dimes, and quarters totaling $5.45. If there are twice as many quarters as dimes and 11 more nickels than quarters, how many of each coin are in the bank?
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\n" ); document.write( "Value Equation: 5n + 10d + 25q = 545 cents
\n" ); document.write( "Quantity Eq...: q = 2d
\n" ); document.write( "Quantity Eq...: n = q + 11
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\n" ); document.write( "Rearrange the 2nd equation:
\n" ); document.write( "d = (1/2)q\r
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\n" ); document.write( "Substitute to solve for \"q\":
\n" ); document.write( "5(q+11) + 10(1/2)q + 25q = 545
\n" ); document.write( "5q + 55 + 5q + 25q = 545
\n" ); document.write( "35q = 490
\n" ); document.write( "q = 14 (# of quarters)
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\n" ); document.write( "Since n = q + 11, n = 25 (# of nickels)
\n" ); document.write( "Since d = (1/2)q, d = 7 (# of dimes)
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\n" ); document.write( "Cheers,
\n" ); document.write( "stan H.\r
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