Vincen wrote:If the number of cars in city X this year is 520,800 which is 24% more than there were in city X last year, how many cars were there in city X last year?
A. 395,808
B. 420,000
C. 447,888
D. 496,800
E. 645,795
We can PLUG IN THE ANSWERS, which represent the number of cars last year.
Since 24% ≈ 25% = 1/4, adding 1/4 to the correct answer must yield a value close to 520,800.
The answer choices range from about 400,000 to about 650,000.
Increasing 400,000 by 1/4 -- in other words, increasing 400,000 by 100,000 -- yields 500,000.
Too small.
Thus, the correct answer must be a bit MORE than 400,000.
Eliminate A, D and E.
Answer choice B: 420,000
420,000 + (1/4)(420,000) = 420,000 + 105,000 = 525,000.
Since increasing 420,000 by 1/4 yields a value a bit more than 520,800, the correct answer cannot be greater than 420,000.
Eliminate C.
The correct answer is
B.
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