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02 May 2025, 06:31
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
78% (01:39) correct
22%
(02:08)
wrong
based on 50
sessions
History
Date
Time
Result
Not Attempted Yet
For airport transfers, a shuttle minivan charges \(d\) dollars for one passenger and $25 for each additional passenger. What is the value of \(d\)?
(1) The per-person cost for 4 passengers sharing the total cost equally is $30.
(2) The per-person cost for 4 passengers sharing the total cost equally is $1 more than the per-person cost for 5 passengers sharing the total cost equally.
Gentle note to all experts and tutors: Please refrain from replying to this question until the Official Answer (OA) is revealed. Let students attempt to solve it first. You are all welcome to contribute posts after the OA is posted. Thank you all for your cooperation!
(1) The per-person cost for 4 passengers sharing the total cost equally is $30.
(2) The per-person cost for 4 passengers sharing the total cost equally is $1 more than the per-person cost for 5 passengers sharing the total cost equally.
Gentle note to all experts and tutors: Please refrain from replying to this question until the Official Answer (OA) is revealed. Let students attempt to solve it first. You are all welcome to contribute posts after the OA is posted. Thank you all for your cooperation!
11 May 2025, 09:30
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Official Solution:
For airport transfers, a shuttle minivan charges \(d\) dollars for one passenger and $25 for each additional passenger. What is the value of \(d\)?
(1) The per-person cost for 4 passengers sharing the total cost equally is $30.
This gives: \(\frac{d + 3 * 25}{4} = 30\). We can solve for \(d\). Sufficient.
(2) The per-person cost for 4 passengers sharing the total cost equally is $1 more than the per-person cost for 5 passengers sharing the total cost equally.
This gives: \(\frac{d + 3 * 25}{4}= \frac{d + 4 * 25}{5} + 1\). We can solve for \(d\). Sufficient.
Answer: D
For airport transfers, a shuttle minivan charges \(d\) dollars for one passenger and $25 for each additional passenger. What is the value of \(d\)?
(1) The per-person cost for 4 passengers sharing the total cost equally is $30.
This gives: \(\frac{d + 3 * 25}{4} = 30\). We can solve for \(d\). Sufficient.
(2) The per-person cost for 4 passengers sharing the total cost equally is $1 more than the per-person cost for 5 passengers sharing the total cost equally.
This gives: \(\frac{d + 3 * 25}{4}= \frac{d + 4 * 25}{5} + 1\). We can solve for \(d\). Sufficient.
Answer: D
General Discussion
03 May 2025, 12:23
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Bunuel
Statement 1
For four passengers, one passenger will be charged $d and the rest 3 will be charged $25 each
\(\frac{d + (25 *3)}{4 = 30}\)
The equation has one unknown, which can be solved.
Hence, the statement is sufficient to find the value of 'd'
Statement 2
For four passengers, one passenger will be charged $d and the rest 3 will be charged $25 each
For five passengers, one passenger will be charged $d and the rest 4 will be charged $25 each
\(\frac{d + (25 *3)}{4} - \frac{d + (25 *4)}{5} = 1\)
The equation has one unknown, which can be solved.
Hence, the statement is sufficient to find the value of 'd'
Option D
