SOLUTION: 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, th

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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?
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39623)   (Show Source): You can put this solution on YOUR website!
p,n,d,q how many of each coin;








p has already been taken care of and known, not affecting the other part of the system:


Work with this system.
Answer by MathTherapy(10555)   (Show Source): You can put this solution on YOUR website!

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?
We already know that there are 5 pennies, valued at . Therefore,

the other coins total 90 (95 - 5), and have a value of 



Let the number of dimes, be D, and the number of nickels, N

Then number of quarters = D + 5

We then get:

N + D + D + 5 = 90_____N + 2D = 85 ------ eq (i)

Also, .05N + .1D + .25(D + 5) = 12________.05N + .1D + .25D + 1.25 = 12

  .05N + .35D  =  10.75 ------- eq (ii)

- .05N -  .1D   = - 4.25 -------- Multiplying eq (i) by - .05 ------- eq (iii)

            .25D   =     6.5 -------- Adding eqs (iii) & (ii)

D, or number of dimes = , or 



N + 2(26) = 85 ------- Substituting 26 for D in eq (i)

N + 52 = 85

N, or number of nickels = , or 

Number of quarters: , or       

You can do the check!! 

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