Problema Solution

Lucy has 24 coins consisting of nickels and quarters amounting to $3.40. How many coins of each kind does she have?

Answer provided by our tutors

1 nickle = 5 cents

1 quarter = 25 cents


let


n = the number of nickles

q = the number of quarter


Lucy has 24 coins consisting of nickels and quarters amounting to $3.40 = 340 cents


n + q = 24


5n + 25q = 340


by solving the system of equations we find


n = 13 nickles


q = 11 quarters


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