Problema Solution

if hagen has 4 more quarters than nickel and they have a combined value of 310 cent. hiw many of each coin does she have

Answer provided by our tutors

1 nickel = 5 cents

1 quarter = 25 cents


let


x = the number of nickels Hagen has

y = the number of quarters Hagen has


Hagen has 4 more quarters than nickels


y = x + 4


they have a combined value of 310 cent


5x + 25y = 310


by solving the system of equations


y = x + 4

5x + 25y = 310


we find


x = 7 nickles


y = 11 quarters


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Hagen has 7 nickles and 11 quarters.