Problema Solution

a parking meter contains nickels and dimes worth $4.60. there are 53 coins in all. how many of each are there?

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


a parking meter contains nickels and dimes worth $4.60


0.05n + 0.1d = 4.60


there are 53 coins in all


n + d = 53


by solving the system of equations


0.05n + 0.1d = 4.60

n + d = 53


we find


n = 14 nickles


d = 39 dimes


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there are 14 nickles and 39 dimes in the parking meter.