The Athletic Committee collected $95 in loonies and toonies for the Terry Fox Run. They have ten more toonies than loonies. How many loonies and how many toonies did they collect?
Let's first represent the number of loonies collected as L and the number of toonies collected as T.
Given that the total amount collected was $95, we can create an equation:
1L + 2T = 95
We are also given that there were ten more toonies than loonies:
T = L + 10
Now we can substitute the second equation into the first equation:
1L + 2(L + 10) = 95
1L + 2L + 20 = 95
3L = 75
L = 25
Now that we have found the number of loonies, we can find the number of toonies:
T = L + 10
T = 25 + 10
T = 35
Therefore, the Athletic Committee collected 25 loonies and 35 toonies for the Terry Fox Run.