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 OA is E.
Should I divide the total population by the total expenditure? Am I right?
A certain country had a total annual expenditure
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Expenditure per capita = Total expenditure/Total population = (1.2 * 10^12)/240,000,000M7MBA 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 OA is E.
Should I divide the total population by the total expenditure? Am I right?
Rewrite the numerator: 1.2 * 10^12 = 1.2 * 10 * 10 * 10^10 = 120 * 10^10
Rewrite the denominator: 240,000,000 = 24 * 10^7
(120 * 10^10)/(24 * 10^7) = 5 * 10^3 = 5000. The answer is E
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M7MBA 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 OA is E.
Should I divide the total population by the total expenditure? Am I right?
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: E
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per capita expenditure = amount of money per person = (money)/(people).M7MBA 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
One million = 1,000,000 = 10�.
Thus:
(1.2 * 10¹²)/(240 * 10�)
= (12 * 10¹¹)(24 * 10�)
= (1/2)(10�)
= (0.5)(10�)
= 5 * 10³
= 5,000.
The correct answer is E.
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The key to solving this problem is to accurately translate from what is being asked to a mathematical expression. We need to determine the "per capital expenditure". As an expression, this is:M7MBA 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 OA is E.
Should I divide the total population by the total expenditure? Am I right?
(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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