Problema Solution

Susan has $2.35 in nickels and dimes. If she has 33 coins in all, find the number of nickels and dimes.

Answer provided by our tutors

1 nickel = 5 cents = $0.05

1 dime = 10 cents = $0.1


let


n = the number of nickels

d = the number of dimes


Susan has $2.35 in nickels and dimes


0.05n + 0.1*d = 2.35


she has 33 coins in all


n + d = 33


by solving the system of equations


n + d = 33

0.05n + 0.1*d = 2.35


we find


d = 14 nickles


n = 19 dimes


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Susan has 14 nickles and 19 dimes.