SOLUTION: John has a collection of 75 coins. His collection has only nickels and dimes. He has 4 times as many dimes as nickels. How many nickels are in his collection

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Question 1016372: John has a collection of 75 coins. His collection has only nickels and dimes. He has 4 times as many dimes as nickels. How many nickels are in his collection
Found 2 solutions by Alan3354, fractalier:
Answer by Alan3354(69443) About Me  (Show Source):
Answer by fractalier(6550) About Me  (Show Source):
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Call then numbers of nickels and dimes, n and d.
Then we have
n + d = 75 and
d = 4n
Now substitute and get
n + 4n = 75
5n = 75
n = 15 nickels