Marysia has saved $45.25 in quarters and loonies. If she has 3 quarters fewer than three-fifths the number of loonies, how many coins of each type does Marysia have?

Answer 1

Let the number of loonies be L.
The number of quarters is 3 quarters less than three-fifths the number of loonies, which represents L*3/5 - 3.
Thus, the equation is L*3/5 - 3 = 45.25.
Multiplying through the parentheses, we get 3L/5 - 3 = 45.25.
Multiplying through the equation by 5 gives us 3L - 15 = 226.25.
Adding 15 to both sides gives us 3L = 241.25.
Finally, dividing both sides by 3 gives us L = 80. <<80=80>>Answer: \boxed{80}.