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A certain country had a total annual expenditure of $1.2 x 1

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A certain country had a total annual expenditure of $1.2 x 1  [#permalink]

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New post 17 Dec 2012, 06:12
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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
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Re: A certain country had a total annual expenditure of $1.2 x 1  [#permalink]

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New post 17 Dec 2012, 06:16
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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


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

Answer: E.
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Re: A certain country had a total annual expenditure of $1.2 x 1  [#permalink]

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New post 18 Dec 2012, 20:38
\(=\frac{1.2x10^{12}}{240x10^{6}}\)
Notice that 1.2 and 240 we could manipulate to make it to \(120/240\)

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

Answer: E
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Re: A certain country had a total annual expenditure of $1.2 x 1  [#permalink]

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New post 21 Jun 2016, 09:22
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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.
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Re: A certain country had a total annual expenditure of $1.2 x 1  [#permalink]

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New post 28 Aug 2017, 14:32
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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


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

Answer:

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Re: A certain country had a total annual expenditure of $1.2 x 1  [#permalink]

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New post 28 Oct 2018, 05:06
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Re: A certain country had a total annual expenditure of $1.2 x 1 &nbs [#permalink] 28 Oct 2018, 05:06
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