document.write( "Question 1046549: Katie has a collection of nickels, dimes and quarters with a total value of
\n" ); document.write( "$6.70. There are 3 more dimes than nickels and 8
\n" ); document.write( " more quarters than nickels, how many of each coin does she have?
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Algebra.Com's Answer #661991 by MathTherapy(10556) $\"\"$ $\"About$

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\n" ); document.write( "Katie has a collection of nickels, dimes and quarters with a total value of
\n" ); document.write( "$6.70. There are 3 more dimes than nickels and 8
\n" ); document.write( " more quarters than nickels, how many of each coin does she have?
\n" ); document.write( "

Let number of nickels, dimes, and quarters, be N, D, and Q, respectively
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document.write( "Then, .05N + .1D + .25Q = 6.7 ------- eq (i)
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document.write( "Also, D = N + 3 ------ eq (ii)
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document.write( "And, Q = N + 8 ------- eq (iii)
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document.write( ".05N + .1(N + 3) + .25(N + 8) = 6.7 ------- Substituting N + 3 for D, and N + 8 for Q in eq (i)
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document.write( ".05N + .1N + .3 + .25N + 2 = 6.7
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document.write( ".4N + 2.3 = 6.7
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document.write( ".4N = 6.7 - 2.3
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document.write( ".4N = 4.4
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document.write( "N, or number of nickels = , or 
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document.write( "Number of dimes: 11 + 3, or 
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document.write( "Number of quarters: 11 + 8, or  \n" );
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