Problema Solution
Karen put $11.50 into her savings account. There were 15 more dimes than nickels, and 48 fewer quarters than nickels. How many of each type of coin did Karen deposit? |
Answer provided by our tutors
1 nickle = 5 cents
1 dime = 10 cents
1 quarter = 25 cents
let
n = the number of nickels
d = the number of dimes
q = the number of quarters
Karen put $11.50 = 1150 cents into her savings account
5n + 10d + 25q = 1150 divide both sides by 5
n + 2d + 5q = 230
there were 15 more dimes than nickels,
d = n + 15
and 48 fewer quarters than nickels
q = n - 48
by solving the system of equations
n + 2d + 5q = 230
d = n + 15
q = n - 48
we find
n = 55 nickles
d = 70 dimes
q = 7 quarters
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