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Helen, Jim, and Ivan each purchased some books at a bookstore. Helen

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Bunuel
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Helen, Jim, and Ivan each purchased some books at a bookstore. Helen [#permalink] New post   15 Oct 2019, 08:27
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Helen, Jim, and Ivan each purchased some books at a bookstore. Helen purchased 4 books and Jim purchased 1 book. If the 3 people purchased an average (arithmetic mean) of 2 books per person, how many books did Ivan purchase?

A. 1
B. 2
C. 3
D. 4
E. 5
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A
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Re: Helen, Jim, and Ivan each purchased some books at a bookstore. Helen [#permalink] New post   15 Oct 2019, 09:18
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4+1+X /3=2
X=6-5=1
Option A

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Re: Helen, Jim, and Ivan each purchased some books at a bookstore. Helen [#permalink] New post   16 Oct 2019, 19:28
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Bunuel wrote:
Helen, Jim, and Ivan each purchased some books at a bookstore. Helen purchased 4 books and Jim purchased 1 book. If the 3 people purchased an average (arithmetic mean) of 2 books per person, how many books did Ivan purchase?

A. 1
B. 2
C. 3
D. 4
E. 5


Since the total number of books purchased is 3 x 2 = 6, Ivan purchased 6 - 4 - 1 = 1 book.

Answer: A
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Re: Helen, Jim, and Ivan each purchased some books at a bookstore. Helen [#permalink] New post   15 Oct 2019, 10:01
Bunuel wrote:
Helen, Jim, and Ivan each purchased some books at a bookstore. Helen purchased 4 books and Jim purchased 1 book. If the 3 people purchased an average (arithmetic mean) of 2 books per person, how many books did Ivan purchase?

A. 1
B. 2
C. 3
D. 4
E. 5


\(H + J + I =\) Total no of Books purchased

Now, \(4 + 1 + I = 2*3\)

Or, \(5 + I = 6\)

SO, I = 1 , Answer must be (A)
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Re: Helen, Jim, and Ivan each purchased some books at a bookstore. Helen [#permalink] New post   15 Oct 2019, 11:48
Average of 2 books, then a total of 6 books purchased. H and J already purchased 5 books cumulative. I is left with no other option than buying 1 book to keep the average 2.

Hence A
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Re: Helen, Jim, and Ivan each purchased some books at a bookstore. Helen [#permalink] New post   19 Oct 2019, 03:44
Bunuel wrote:
Helen, Jim, and Ivan each purchased some books at a bookstore. Helen purchased 4 books and Jim purchased 1 book. If the 3 people purchased an average (arithmetic mean) of 2 books per person, how many books did Ivan purchase?

A. 1
B. 2
C. 3
D. 4
E. 5


Total Books Purchased = Average * Number of People = 2 * 3 = 6
Books purchased by Helen + Jim = 4 + 1 = 5

Therefore, # of books purchased by Ivan = 6 - 5 = 1

ANSWER: A
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Re: Helen, Jim, and Ivan each purchased some books at a bookstore. Helen [#permalink] New post   19 Nov 2020, 22:42
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Re: Helen, Jim, and Ivan each purchased some books at a bookstore. Helen [#permalink]
19 Nov 2020, 22:42
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