Problema Solution

you have $6.10 in nickles and quarters. you have 62 coins. how many of each do you have?

Answer provided by our tutors

1 nickle = 5 cents

1 quarter = 25 cents


let


n = the number of nickels

q = the number of quarters


you have $6.10 = 610 cents in nickles and quarters


5n + 25q = 610 divide both sides by 5


n + 5q = 122


you have 62 coins


n + q = 62


by solving the system of equations


n + 5q = 122

n + q = 62


we find


n = 47 nickles


q = 15 quarters


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