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A certain manufacturer sells its products to stores in 113 different regions worldwide, with an average (arithmetic mean) of 181 stores per region. If last year these stores sold an average of 51,752 units of the manufacturer’s product per store, which of the following is closest to the total number of units of manufacturer’s product sold worldwide last year?
Re: A certain manufacturer sells its products to stores in 113 different r [#permalink]
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03 Jul 2016, 11:22
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Number of different regions = 113 Average of stores per region = 181 Average units sold per store = 51752 Total number of units of manufacturer’s product sold worldwide last year = 113 * 181 * 51752 We should use estimation here 110 * 180 * 50,000 = 198 * 10^2 * 50,000 = 2 * 10^4 * 5* 10^4 = 10 * 10^8 =10^9 Answer D
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Re: A certain manufacturer sells its products to stores in 113 different r [#permalink]
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17 Oct 2016, 08:02
Bunuel wrote:
A certain manufacturer sells its products to stores in 113 different regions worldwide, with an average (arithmetic mean) of 181 stores per region. If last year these stores sold an average of 51,752 units of the manufacturer’s product per store, which of the following is closest to the total number of units of manufacturer’s product sold worldwide last year?
A) 10^6 B) 10^7 C) 10^8 D) 10^9 E) 10^10
Use approximation ab initio
113 ~ 100 181 ~ 200 51,752 ~ 50000
So, 113 *181 *51,752 ~ 100*200*50000 =>20000*50000 = 1000000000 =10^9
Hence answer will be (D) 10^9 _________________
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Abhishek....
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A certain manufacturer sells its products to stores in 113 different regions worldwide, with an average (arithmetic mean) of 181 stores per region. If last year these stores sold an average of 51,752 units of the manufacturer’s product per store, which of the following is closest to the total number of units of manufacturer’s product sold worldwide last year?
A) 10^6 B) 10^7 C) 10^8 D) 10^9 E) 10^10
We are given that a certain manufacturer sells its products to stores in 113 different regions, with an average (arithmetic mean) of 181 stores per region and 51,752 units per store.
Since we are asked, which of the following is closest to the total number of units of manufacturer’s product sold worldwide last year, we can use estimation.
113 ≈ 100
181 ≈ 200
51,752 ≈ 50,000
Thus, the approximate number of units sold worldwide last year was: 100 x 200 x 50,000 = 1,000,000,000 = 10^9
Answer: D
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Re: A certain manufacturer sells its products to stores in 113 different r [#permalink]
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25 Aug 2017, 22:44
1. 181 Stores x 113 regions = 20,453 2. 20,453 x 51,752 (I worked this out the long way but scientific notation is faster) 3. 2 x 10^4 x 5 x 10^4 = 10 x 10^8 (just add exponents since base and exponent is the same) 4. 10^9
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