Question
After ticket sales at a volleyball game, a cash box contains 87 coins in loonies and toonies. The total value of the money is $161. The situation can be represented by the following system of equations:
Number of coins:
Total Value:
L+T = 87
L + 2T = 161
where L is the number of loonies and T is the number of toonies. Solve the system of equations using substitution or elimination to determine the number of loonies and toonies.
Number of coins:
Total Value:
L+T = 87
L + 2T = 161
where L is the number of loonies and T is the number of toonies. Solve the system of equations using substitution or elimination to determine the number of loonies and toonies.
Answers
GPT 3.5
From the first equation, we can express L in terms of T as L = 87 - T. Substituting this into the second equation, we get:
(87 - T) + 2T = 161
87 + T = 161
T = 161 - 87
T = 74
Now that we have the number of toonies, we can substitute back into the first equation to find the number of loonies:
L + 74 = 87
L = 87 - 74
L = 13
Therefore, there are 13 loonies and 74 toonies in the cash box.
(87 - T) + 2T = 161
87 + T = 161
T = 161 - 87
T = 74
Now that we have the number of toonies, we can substitute back into the first equation to find the number of loonies:
L + 74 = 87
L = 87 - 74
L = 13
Therefore, there are 13 loonies and 74 toonies in the cash box.