Problema Solution

Antonio has $6.75 in nickels and dimes. If Antonio 15 more dimes than nickels, how many nickels does he have?

Answer provided by our tutors

1 nickle = 5 cents

1 dime = 10 cents


let


n = the number of nickels

d = the number of dimes


Antonio has $6.75 = 675 cents in nickels and dimes


5n + 10d = 675


Antonio has 15 more dimes than nickels


d = n + 15


by solving the system of equations


5n + 10d = 675

d = n + 15


we find


n = 35 nickles


d = 50 dimes


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Antonio has 35 nickles and 30 dimes.