Problema Solution

susan paid for her library fine with 29 coins consisting of nickels and dimes. if the fine was $2.20, how many coins were nickels?

Answer provided by our tutors

1 nickle = 5 cents

1 dime = 10 cents


let


n = the number of nickles

d = the number of dimes


Susan paid for her library fine with 29 coins consisting of nickels and dimes


n + d = 29


the fine was $2.20 = 220 cents


5n + 10d = 220


by solving the system of equations


n + d = 29

5n + 10d = 220


we find


d = 15 dimes


n = 14 nickles


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14 coins were nickles.