Problema Solution
Benedita has a jar containing 55 coins. Some are dimes, and the rest are nickels. If the value of the coins is $4.50, how many dimes does she have?
Answer provided by our tutors
1 nickel = 5 cents
1 dime = 10 cents
Let
n = the number of nickels, n>=0, n is integer
d = the number of dimes, d>=0, d is integer
Benedita has a jar containing 55 coins:
n + d = 55
The value of the coins is $4.50 = 450 cents:
5n + 10d = 450
We have the following system of equations:
n + d = 55
5n + 10d = 450
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click here to see the system of equations solved for d and n
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d = 35 dimes
n = 20 nickles
Benedita has 20 nickles and 35 dimes.