Hi All,
This question can be solved in a variety of ways - with ratios, as a weighted average, or even by TESTing THE ANSWERS. Most Test Takers would probably take an algebraic approach with this question (which is fine), but here's how you can use the answers to your advantage and just do Arithmetic...
We're told a few facts about a group of students:
1) There are 300 seniors and 40% of them own a car.
2) There are X non-seniors and 10% of them own a car.
3) 15% of ALL the students own a car.
We're asked for the total number of NON-seniors at the school.
From a logical standpoint, it would take a LOT more than 300 non-seniors to "bring the average down" from 40% car ownership to 15% car ownership. Given the answer choices that come with this prompt, the correct answer is likely to be one of the larger options.
Let's start with Answer C: 1200....
Seniors with a car: (.4)(300) = 120
Non-seniors w/ a car: (.1)(1200) = 120
Total with a car/All students = 240/1500
15% of 1500 = 225
This answer is NOT a match; as a percent, it is TOO BIG. We need more non-seniors to bring the percent down...
Between Answers D and E, E seems like "easier math"
Answer E: 1500....
Seniors with a car: (.4)(300) = 120
Non-seniors w/ a car: (.1)(1500) = 150
Total with a car/All students = 270/1800
15% of 1800 = 270
This IS a match, so this MUST be the answer.
Final Answer:
GMAT assassins aren't born, they're made,
Rich
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Contact Rich at: Rich.C@empowergmat.comThe Course Used By GMAT Club Moderators To Earn 750+ souvik101990 Score: 760 Q50 V42 ★★★★★ ENGRTOMBA2018 Score: 750 Q49 V44 ★★★★★