If the combined amount of donations collected by Kevin, Fran, and Brooke exceeded the amount Lamar collected by $250, what was the total amount of donations collected by all five club members?
The total amount of donations collected by all five club members was $2,500.
The problem states that the combined donations of Kevin, Fran, and Brooke exceeded Lamar's donations by $250. To find the total amount collected by all five members, we can express it as Lamar's amount plus the additional $250.
If the total donations were $500, it would imply that Lamar collected $250, and the combined total of Kevin, Fran, and Brooke would be $500 - $250 = $250. This does not satisfy the condition of exceeding Lamar's amount by $250.
If the total donations amounted to $1,200, and Lamar's amount was $950 (since $1,200 - $250 = $950), this would mean the three members' combined donations would be $1,200 - $950 = $250. Again, this does not meet the requirement of exceeding Lamar's donations by $250.
In this scenario, if the total donations are $2,500, and Lamar collected $2,250, then the combined donations of Kevin, Fran, and Brooke would be $2,500 - $2,250 = $250. This means they exceeded Lamar's collection by exactly $250, fulfilling the condition specified in the question.
If the combined donations were $3,200, then Lamar would have collected $2,950, leading to the three members having $3,200 - $2,950 = $250. This still does not satisfy exceeding Lamar's amount by $250 but merely meets it.
In conclusion, the total amount of donations collected by all five members is $2,500. This is the only option that accurately reflects the condition of exceeding Lamar's contributions by $250, as it aligns with the given information in the question. Thus, the calculation confirms that the correct answer is $2,500.
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