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A certain country had a total annual expenditure of $1.2 x 10^12 last year. If the population of the country was 240 million last year, what was the per capita expenditure? (A)$ 500
(B) $1,000 (C)$2,000
(D) $3,000 (E)$5,000
Math Expert V
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Posts: 55670
Re: A certain country had a total annual expenditure of $1.2 x 1 [#permalink] Show Tags 3 7 Walkabout wrote: A certain country had a total annual expenditure of$1.2 x 10^12 last year. If the population of the country was 240 million last year, what was the per capita expenditure?

(A) $500 (B)$1,000
(C) $2,000 (D)$3,000

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$$=\frac{1.2x10^{12}}{240x10^{6}}$$
Notice that 1.2 and 240 we could manipulate to make it to $$120/240$$

$$=\frac{120x10^{10}}{240x10^{6}}=0.5x10^{10-6}=0.5x10^{4}=5,000$$

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Re: A certain country had a total annual expenditure of $1.2 x 1 [#permalink] Show Tags 1 1 Walkabout wrote: A certain country had a total annual expenditure of$1.2 x 10^12 last year. If the population of the country was 240 million last year, what was the per capita expenditure?

(A) $500 (B)$1,000
(C) $2,000 (D)$3,000
(E) $5,000 The key to solving this problem is to accurately translate what is being asked to a mathematical expression. We need to determine the “per capital expenditure”. As an expression this is: (Total annual expenditure)/(Total population)= per capita expenditure The easiest first step is to express 240 million as a number times a power of 10 since the other number is in this format. 240 million = 240,000,000 Since we have a 24 with 7 zeroes we can write this as: 24 x 10^7 Next, we should adjust 1.2 x 10^12 to make it a more usable number in our expression. 1.2 x 10^12 = 120 x 10^10 We now can solve: (Total annual expenditure)/(Total population) (120 x 10^10)/(24 x 10^7) 5 x 10^3 5 x 1,000 = 5,000 Answer E. _________________ Scott Woodbury-Stewart Founder and CEO Scott@TargetTestPrep.com See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews If you find one of my posts helpful, please take a moment to click on the "Kudos" button. CEO  V Joined: 12 Sep 2015 Posts: 3783 Location: Canada Re: A certain country had a total annual expenditure of$1.2 x 1  [#permalink]

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A certain country had a total annual expenditure of $1.2 x 10^12 last year. If the population of the country was 240 million last year, what was the per capita expenditure? (A)$ 500
(B) $1,000 (C)$2,000
(D) $3,000 (E)$5,000

Let's use a nice rule that says: (ab)/(cd) = (a/c)(b/d)

Per capita expenditure = (total expenditure of country)/(total population of country)
= (1.2 x 10^12)/(240 million)
= (1.2 x 10^12)/(240 x 10^6)
= (1.2 x 10^3 x 10^9)/(240 x 10^6)
= (1.2 x 10^3 x 10^9)/(240 x 10^6)
= (1200 x 10^9)/(240 x 10^6)
= (1200/240)(10^9/10^6)
= (5)(10^3)
= (5)(1000)
= 5000

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Re: A certain country had a total annual expenditure of $1.2 x 1 [#permalink] Show Tags Hello from the GMAT Club BumpBot! Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos). Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email. _________________ Re: A certain country had a total annual expenditure of$1.2 x 1   [#permalink] 28 Oct 2018, 06:06
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