Final Answer:
Tori and Bridgette will each have collected 12 signatures in 3 minutes.
Step-by-step explanation:
To represent Tori and Bridgette's signature collection rates, we'll use the variables T and B respectively. Let's assume Tori collects T signatures per minute and Bridgette collects B signatures per minute. The combined time they've spent is 3 minutes, and the total number of signatures they've collected is 24.
We can set up a system of equations based on this information:
Equation 1: T * 3 = Total signatures collected by Tori
Equation 2: B * 3 = Total signatures collected by Bridgette
Equation 3: Total signatures by both = Total signatures collected by Tori + Total signatures collected by Bridgette = 24
Solving equations 1 and 2:
T * 3 = 24, B * 3 = 24
T = 24 / 3, B = 24 / 3
T = 8, B = 8
Therefore, Tori and Bridgette each collected 8 signatures in 3 minutes. However, this doesn't add up to the total of 24 signatures. So, we need to reassess the values.
Since the total signatures should be 24, we reconsider the rates:
T * 3 + B * 3 = 24
8 * 3 + B * 3 = 24
24 + B * 3 = 24
B * 3 = 24 - 24
B * 3 = 0
B = 0 / 3
B = 0
T * 3 = 24
T = 24 / 3
T = 8
So, Tori collected 8 signatures in 3 minutes. With Bridgette having 0 signatures in the same time frame, the total of 24 signatures could not be achieved. Revising the rates, Tori and Bridgette must have both collected 12 signatures in 3 minutes to reach the total of 24, demonstrating an equal contribution from each activist.