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01 Jan 2021, 09:00
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
5%
(low)
Question Stats:
90% (01:15) correct
10%
(01:16)
wrong
based on 82
sessions
History
Date
Time
Result
Not Attempted Yet
Each day, a vendor rents a booth. She is charged both a flat fee and 5% of her gross sales for booth rental. What is the vendor's gross sales on Tuesday?
(1) The vendor's total booth rental expense on Tuesday is $100.
(2) On Tuesday, the amount of the flat fee is equal to the amount paid on the percentage of gross sales.
(1) The vendor's total booth rental expense on Tuesday is $100.
(2) On Tuesday, the amount of the flat fee is equal to the amount paid on the percentage of gross sales.
02 Jan 2021, 06:31
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Bunuel
Given: Each day, a vendor rents a booth. She is charged both a flat fee and 5% of her gross sales for booth rental.
Let F = the flat fee
Let G = the gross sales
So, the TOTAL rental payment = F + 0.05G
Target question: What is the value of G?
Statement 1: The vendor's total booth rental expense on Tuesday is $100.
We can write: F + 0.05G = 100
There are many different solutions to this linear equation (e.g. F = $100 and G = $0, or F = $95 and G = $100, or F = $50 and G = $1000, etc.
Since we can’t answer the target question with certainty, statement 1 is NOT SUFFICIENT
Statement 2: On Tuesday, the amount of the flat fee is equal to the amount paid on the percentage of gross sales.
We can write: F = 0.05G
There are many different solutions to this linear equation (e.g. F = $100 and G = $2000, or F = $50 and G = $1000, or F = $10 and G = $200, etc.
Since we can’t answer the target question with certainty, statement 2 is NOT SUFFICIENT
Statements 1 and 2 combined
Statement 1 tells us that F + 0.05G = 100
Statement 2 tells us that F = 0.05G
At this point, we should recognize that we have a system of 2 linear equations with 2 variables. As such, we COULD solve this system for F and G, which means we COULD answer the target question.
ASIDE: Although we COULD solve the system of equations, we would never waste valuable time on test day doing so. We need only determine that we COULD answer the target question.
Since we can answer the target question with certainty, the combined statements are SUFFICIENT
Answer: C
Cheers,
Brent
23 Oct 2024, 10:22
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