SOLUTION: A vending machine accepts nickel, dimes and quarters. At the end of the day, there were three more dimes that nickels and four fewer quarters than nickels. if the total value of th

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Question 354441: A vending machine accepts nickel, dimes and quarters. At the end of the day, there were three more dimes that nickels and four fewer quarters than nickels. if the total value of the coins was $4.10, find the number of each type of coins.
Will you please show me how to get the answer to the above promblem. Thank you in advance.
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
"three more dimes that nickels" ___ d = n + 3

"four fewer quarters than nickels" ___ q = n - 4

"total value of the coins was $4.10" ___ 5n + 10d + 25q = 410

substituting ___ 5n + 10(n + 3) + 25(n - 4) = 410 ___ 5n + 10n + 30 + 25n - 100 = 410

40n = 480 ___ n = 12

d = (12) + 3 = 15

q = (12) - 4 = 8