SOLUTION: 20 coins are in a bank. If the coins are quarters and nickels only and amount to $1.60, how many of each coins are there?

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Question 559613: 20 coins are in a bank. If the coins are quarters and nickels only and amount to $1.60, how many of each coins are there?
Answer by htmentor(1343) About Me  (Show Source):
You can put this solution on YOUR website!
Let n = the number of nickels
Then 20 - n = the number of quarters
We can write the following equation for the amount:
160 = 5n + 25(20-n) [in cents]
Solve for n:
160 = 5n + 500 - 25n
20n = 340
n = 17
So there are 17 nickels and 3 quarters
Check:
3*25 + 17*5 = 75 + 85 = 160