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A certain country had a total annual expenditure of $1.2 x 1 [#permalink] ### Show Tags 17 Dec 2012, 06:12 00:00 Difficulty: 5% (low) Question Stats: 84% (02:02) correct 16% (00:58) wrong based on 653 sessions ### HideShow timer Statistics 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 [Reveal] Spoiler: OA Math Expert Joined: 02 Sep 2009 Posts: 35843 Followers: 6830 Kudos [?]: 89754 [0], given: 10381 Re: A certain country had a total annual expenditure of$1.2 x 1 [#permalink]

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17 Dec 2012, 06:16
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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

240 million = 24*10^7, thus the per capita expenditure = $$\frac{1.2 * 10^{12}}{24*10^7}=\frac{12 * 10^{11}}{24*10^7}=0.5*10^4=5000$$.

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21 Jun 2016, 09:22
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

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Re: A certain country had a total annual expenditure of $1.2 x 1 [#permalink] 21 Jun 2016, 09:22 Similar topics Replies Last post Similar Topics: 1 A certain company had a total annual expenditure of 2 17 Feb 2016, 03:30 In a certain company, the total monthly payroll for the 12 production 3 20 Nov 2015, 00:18 46 One week a certain truck rental lot had a total of 20 trucks 11 27 Feb 2014, 06:09 1 Of the 13 employees in a certain department, 1 has an annual 1 24 Feb 2013, 06:47 A certain country had a total annual expenditure of$1.2 x 5 27 May 2007, 20:44
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