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Re: If x/100+x/1,000+x/10,000+x/100,000=111, what is the approximation of
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19 Jun 2017, 05:51

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MathRevolution wrote:

If \(\frac{x}{100}+\frac{x}{1,000}+\frac{x}{10,000}+\frac{x}{100,000}=111\), what is the approximation of x?

A. 11,100 B. 111,000 C. 1,111,000 D. 11,111,000 E. 111,111,000

Another approach is to test the answer choices

A) 11,100 We get: 11,100/100 + 11,100/1000 + 11,100/10000 + 11,100/100000 = 111 + 11.1 +....STOP Our sum is ALREADY greater than 111, and since the subsequent values in the sum are all positive, the sum will just get bigger and bigger So, 11,100 is already a little too big

Since the other 4 answer choices are even bigger than 11,100, we can see that A is the best answer

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