Problema Solution
Mrs.Boyd has a desk full of quarters and nickles. if she has a total of 33 coins with a total face value of $4.25, how many of the coins are nickels?
Answer provided by our tutors
1 nickle = 5 cents
1 quarter = 25 cents
let
n = the number of nickels, n>0, n is integer
q = the number of quarters, q>0, q is integer
she has a total of 33 coins
n + q = 33
with a total face value of $4.25 = 425 cents
5n + 25q = 425 divide both sides by 5
n + 5q = 85
by solving the system of equations
n + q = 33
n + 5q = 85
we find
n = 20 nickles
q = 13 quarters
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Mrs. Boyd has 20 nickles.