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Intern
Joined: 20 Jun 2019
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Location: United States (DC)
GPA: 3.4
WE: Sales (Computer Software)

2.5 million is what percent of 10 billion?
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19 Mar 2020, 07:43
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48% (01:23) correct 52% (01:28) wrong based on 46 sessions
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2.5 million is what percent of 10 billion? a) \(\frac{1}{40,000}\) percent b) \(\frac{1}{25,000}\) percent c) \(\frac{1}{15,000}\) percent d) \(\frac{1}{4,000}\) percent e) \(\frac{1}{40}\) percent
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Re: 2.5 million is what percent of 10 billion?
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19 Mar 2020, 07:53
whollymoses wrote: 2.5 million is what percent of 10 billion?
a) \(\frac{1}{40,000}\) percent
b) \(\frac{1}{25,000}\) percent
c) \(\frac{1}{15,000}\) percent
d) \(\frac{1}{4,000}\) percent
e) \(\frac{1}{40}\) percent Let x = the desired percent In other words: 2.5 million is x percent of 10 billion In other words: 2,500,000 = x% of 10,000,000,000 In other words: 2,500,000 = (x/100)(10,000,000,000) Divide both sides by 100,000 to get: 25 = (x/100)(100,000) Simplify to get: 25 = 1000x Divide both sides by 1000 to get: x = 25/1000 = 1/40 Answer: E Cheers, Brent
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Intern
Joined: 20 Jun 2019
Posts: 44
Location: United States (DC)
GPA: 3.4
WE: Sales (Computer Software)

Re: 2.5 million is what percent of 10 billion?
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19 Mar 2020, 07:56
Having some issues figuring out what I did wrong. ScottTargetTestPrep or JeffTargetTestPrep care to share any light? step 1] Set up equation 2,500,000 = \(\frac{x}{100} * 10,000,000,000\) I simplified the equation as follows 2,500,000 = 25 x \(10^5\) 10,000,000,000 = 10 x \(10^9 \) 25 x \(10^5\) = \(\frac{x}{10^2} * 10^9\) Then 25 x \(10^5\) = x * \(10^{11}\) \(\frac{25 x 10^5 }{10^{11} }\) = x 25 x \(10^ {6}\) = x Which is equivalent to \(\frac{25}{1,000,000}\) = x \(\frac{1}{40,000}\) = x



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Location: Canada

Re: 2.5 million is what percent of 10 billion?
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19 Mar 2020, 08:04
whollymoses wrote: Having some issues figuring out what I did wrong. ScottTargetTestPrep or JeffTargetTestPrep care to share any light? step 1] Set up equation 2,500,000 = \(\frac{x}{100} * 10,000,000,000\) I simplified the equation as follows 2,500,000 = 25 x \(10^5\) 10,000,000,000 = 10 x \(10^9 \) 25 x \(10^5\) = \(\frac{x}{10^2} * 10^9\) Then 25 x \(10^5\) = x * \(10^{11}\)\(\frac{25 x 10^5 }{10^{11} }\) = x 25 x \(10^ {6}\) = x Which is equivalent to \(\frac{25}{1,000,000}\) = x \(\frac{1}{40,000}\) = x I have highlighted your mistake above. \((\frac{x}{10^2})(10^9)=(\frac{x}{10^2})(\frac{10^9}{1}) = \frac{(x)(10^9)}{10^2} = (x)(10^7)\)
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Re: 2.5 million is what percent of 10 billion?
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21 Mar 2020, 15:18
whollymoses wrote: Having some issues figuring out what I did wrong. ScottTargetTestPrep or JeffTargetTestPrep care to share any light? step 1] Set up equation 2,500,000 = \(\frac{x}{100} * 10,000,000,000\) I simplified the equation as follows 2,500,000 = 25 x \(10^5\) 10,000,000,000 = 10 x \(10^9 \) 25 x \(10^5\) = \(\frac{x}{10^2} * 10^9\) Then 25 x \(10^5\) = x * \(10^{11}\) \(\frac{25 x 10^5 }{10^{11} }\) = x 25 x \(10^ {6}\) = x Which is equivalent to \(\frac{25}{1,000,000}\) = x \(\frac{1}{40,000}\) = x  There are two mistakes in your work: First, you correctly wrote 10 billion as 10 x 10^9, but in the equation you wrote just 10^9. That should have been 10^10. Next, when you cancelled the 10^2 in the denominator, you increased the exponent of 10^9 (which should have been 10^10) by 2 instead of decreasing it by 2. Correcting the first mistake, the equation should have been 25 * 10^5 = (x/10^2)*10^10. Correcting the second mistake, the next line should have been 25 * 10^5 = x * 10^8. If you solve this equation, you'll get x = 25/1000 = 1/40, which is the correct answer.
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Re: 2.5 million is what percent of 10 billion?
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21 Mar 2020, 15:18




