SOLUTION: there are nickles, dimes, and quarters in a small piggy bank. It totals $3.40 consisting of 28 coins. There are three more dimes than nickles. Find the number of each coin

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Question 881843: there are nickles, dimes, and quarters in a small piggy bank. It totals $3.40 consisting of 28 coins. There are three more dimes than nickles. Find the number of each coin
Answer by ewatrrr(24785) About Me  (Show Source):
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Hi

N: x

D: (x+3)

Q: 28 - [x + (x + 3)] = 25-2x

25(25-2x)+ 10(x+3) + 5x = 340cents  (Cents make sense)

25*25 - 50x  + 10x + 30 + 5x = 340

       -35x = 340 - 625  -30 = -315

          x = 9 Nickels, 12 Dimes and  7 Quarters

CHECKING our answer***

175 + 120 + 45 = 340cents 0r $3.40

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