Problema Solution

George saves nickels and dimes for tolls on the New Jersey turnpike. If he has 28 coins that are worth $2.60, how many are nickels amd how many are dimes?

Answer provided by our tutors

1 nickle = 5 cents


1 dime = 10 cents


$2.60 = 250 cents


let


n = the number of nickles, n>0


d = the number of dimes, d>0


he has 28 coins that are worth $2.60:


n + d = 28


5n + 10d = 260


by solving the above system of equations we find:


n = 4 nickles


d = 24 dimes


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there are 4 nickles and 24 dimes.