Problema Solution

Laura has $4.50 in dimes and quarters. She has 3 more dimes than quarters. How many quarters does she have?

Answer provided by our tutors

1 quarter = 25 cents

1 dime = 10 cents


let


q = the number of quarters

d = the number of dimes


she has 3 more dimes than quarters


d = 3 + q


Laura has $4.50 = 450 cents in dimes and quarters


25q + 10d = 450


by solving the system of equations


d = 3 + q

25q + 10d = 450


we find


d = 15 dimes


q = 12 quarters


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