Problema Solution
The bank teller gives Mary $4.00 in dimes and nickels only. She gives Mary seven more dimes than nickels. How many dimes does she give Mary?
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
She gives Mary seven more dimes than nickels:
d = 7 + n
The total value of the coins is $4.00 = 400 cents:
5n + 10d = 400
We have the following system of equations:
d = 7 + n
5n + 10d = 400
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n = 22 nickles
d = 29 dimes
The bank gave 29 dimes to Mary.