SOLUTION: Lee Chuen received $2.50 on his 4th birthday. When he put the money in the bank, he put one more dime than quarters and two more nickels than quarters and dimes together. How many

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Question 953961: Lee Chuen received $2.50 on his 4th birthday. When he put the money in the bank, he put one more dime than quarters and two more nickels than quarters and dimes together. How many coins of each kind did he put in the bank?
Answer by CubeyThePenguin(3113) About Me  (Show Source):
You can put this solution on YOUR website!
n = number of nickels
d = number of dimes
q = number of quarters

5n + 10d + 25q = 250
d = q + 1
n = q + d + 2 = 2q + 3

5(2q + 3) + 10(q + 1) + 25q = 250
10q + 15 + 10q + 10 + 25q = 250
45q = 225
q = 5

---> 13 nickels, 6 dimes, 5 quarters