Problema Solution

You hVe a full dish of nickels and quarters

If there re 16 coins altogether worth$2.20 how many of each coin do you have?

Answer provided by our tutors

1 quarter = 25 cents


1 nickle = 5 cents


let


q = the number of quarters, q is integer, q >= 0


n = the number of nickles, n is integer, n >= 0


there re 16 coins altogether worth $2.20 = 220 cents:


q + n = 16


25q + 5n = 220


by solving the above system of equations we find:


q = 7 quarters


n = 9 nickles


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there are 7 quarters and 9 nickles in the dish.