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An office supply store carries an inventory of 1,345 differe
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05 Aug 2018, 14:54
05 Aug 2018, 14:54
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Question Stats:
73% (01:22) correct
26% (02:01) wrong based on 119 sessions
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An office supply store carries an inventory of 1,345 different products, all of which it categorizes as “business use,” “personal use,” or both. There are 740 products categorized as
“business use” only and 520 products categorized as both “business use” and “personal use.”
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
“business use” only and 520 products categorized as both “business use” and “personal use.”
Quantity A |
Quantity B |
The number of products characterized as “personal use” |
600 |
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Re: An office supply store carries an inventory of 1,345 differe
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06 Aug 2018, 06:33
06 Aug 2018, 06:33
6
Expert Reply
Explanation
Use the overlapping sets formula for two groups: Total = Group 1 + Group 2 – Both + Neither. But first, add 740 (“business use” only) + 520 (“business use” and “personal use”) to get
1,260, the total number of products categorized as “business use.”
Also note that the problem indicates that all of the products fall into one or both of the two categories, so “neither” in this formula is equal to zero:
Total = Business + Personal – Both + Neither
1,345 = 1,260 + P – 520 + 0
1,345 = 740 + P
605 = P
Quantity A is greater. Note that the question asked for the number of products characterized as “personal use” (which includes products in the “both” group). If the problem had asked for the number of products characterized as “personal use” only, you would have had to subtract the “both” group to get 605 – 520 = 85. In this problem, however, Quantity A equals 605.
Use the overlapping sets formula for two groups: Total = Group 1 + Group 2 – Both + Neither. But first, add 740 (“business use” only) + 520 (“business use” and “personal use”) to get
1,260, the total number of products categorized as “business use.”
Also note that the problem indicates that all of the products fall into one or both of the two categories, so “neither” in this formula is equal to zero:
Total = Business + Personal – Both + Neither
1,345 = 1,260 + P – 520 + 0
1,345 = 740 + P
605 = P
Quantity A is greater. Note that the question asked for the number of products characterized as “personal use” (which includes products in the “both” group). If the problem had asked for the number of products characterized as “personal use” only, you would have had to subtract the “both” group to get 605 – 520 = 85. In this problem, however, Quantity A equals 605.
General Discussion
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Joined: 06 Aug 2018
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WE:Education (Education)
Re: An office supply store carries an inventory of 1,345 differe
[#permalink]
06 Aug 2018, 04:09
06 Aug 2018, 04:09
The solution can be solved this way,
We know that from the question , the total products under business use will be 1260 ( 520+740).
The remaining 85 products will be under the products of “not business use” .
If there are no products under “not business use” & personal use ( only personal use), The minimum value for total products under personal use will be 520 .
Similarly the maximum value of the products under personal use will happen , when all the 85 products do comes under “personal use” & “ not business use” ( only personal use), i.e. 520 +85 =605.
Hence the products under personal use will be between 540 & 605
The answer is “D”
We know that from the question , the total products under business use will be 1260 ( 520+740).
The remaining 85 products will be under the products of “not business use” .
If there are no products under “not business use” & personal use ( only personal use), The minimum value for total products under personal use will be 520 .
Similarly the maximum value of the products under personal use will happen , when all the 85 products do comes under “personal use” & “ not business use” ( only personal use), i.e. 520 +85 =605.
Hence the products under personal use will be between 540 & 605
The answer is “D”
OA is A. Please correct urself.
