document.write( "Question 949216: Anna's grandma gave her 95 coins consisting of pennies, nickels, dimes, and quarters. She also knows there are only 5 pennies and the total value of the coins is $12.05. Also, there are 5 more quarters than dimes. How many of each coin does Anna have? \n" ); document.write( "

Algebra.Com's Answer #579585 by MathTherapy(10555) $\"\"$ $\"About$

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\n" ); document.write( "Anna's grandma gave her 95 coins consisting of pennies, nickels, dimes, and quarters. She also knows there are only 5 pennies and the total value of the coins is $12.05. Also, there are 5 more quarters than dimes. How many of each coin does Anna have?
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We already know that there are 5 pennies, valued at . Therefore,
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document.write( "the other coins total 90 (95 - 5), and have a value of \r
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document.write( "Let the number of dimes, be D, and the number of nickels, N
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document.write( "Then number of quarters = D + 5
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document.write( "We then get:
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document.write( "N + D + D + 5 = 90_____N + 2D = 85 ------ eq (i)
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document.write( "Also, .05N + .1D + .25(D + 5) = 12________.05N + .1D + .25D + 1.25 = 12
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document.write( "  .05N + .35D  =  10.75 ------- eq (ii)
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document.write( "- .05N -  .1D   = - 4.25 -------- Multiplying eq (i) by - .05 ------- eq (iii)
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document.write( "            .25D   =     6.5 -------- Adding eqs (iii) & (ii)
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document.write( "D, or number of dimes = , or \r
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document.write( "N + 2(26) = 85 ------- Substituting 26 for D in eq (i)
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document.write( "N + 52 = 85
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document.write( "N, or number of nickels = , or 
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document.write( "Number of quarters: , or       
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document.write( "You can do the check!! 
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