Problema Solution
In a collection of dimes and nickels, there are 36 coins. The total value of the coins is $2.90. How many coins of each type are there?
Answer provided by our tutors
1 nickle = 5 cents
1 dime = 10 cents
Let
n = the number of nickles, n>=0
d = the number of dimes, d>=0
There are 36 coins:
n + d = 36
The total value of the coins is $2.90 = 290 cents:
5n + 10d = 290
We have the following system of equations:
n + d = 36
5n + 10d = 290
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n = 14 nickles
d = 22 dimes
There are 14 nickles and 22 dimes.