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Answer
:
5 Loonies, 50 Twonies and 19 Five dollar bills.
AI says
Let's use variables to represent the unknowns:
Let L be the number of $1 coins (Loonies),
T be the number of $2 coins (Twonies), and
F be the number of $5 bills.
The total value of the coins and bills should equal $200:
1L + 2T + 5F = 200
Now, Justin asks for $1 coins followed by ten times as many $2 coins:
T = 10L
And he wants the balance in $5 bills:
F = ?
Now we have a system of three equations:
1L + 2T + 5F = 200
T = 10L
F = ?
Let's solve this system to find the values of (L), (T), and (F).
Substitute (T) from the second equation into the first:
1L + 2(10L) + 5F = 200
Simplify:
1L + 20L + 5F = 200
Combine like terms:
21L + 5F = 200
Now, we need one more equation to solve for (L) and (F).
Since we don't have another equation, there are multiple solutions possible.
If we assume a reasonable constraint, such as the number of $1 coins being a whole number, we can find a solution.
Let's say (L = 5) (this is just an example, and other values may be valid):
21(5) + 5F = 200
105 + 5F = 200
Subtract 105 from both sides:
5F = 95
Divide by 5:
F = 19
So, with the assumption that (L = 5), (T = 50) (since (T = 10L), and (F = 19), Justin would receive
5 $1 coins,
50 $2 coins,
and 19 $5 bills to cash his $200 cheque.
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