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goalsnr
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lucyqin
I don't get how the OA can be C.
Together with both statements, we don't know how many customers buy exactly one book or how many bought exactly three books. Shouldn't the answer be E? Can someone explain?

read my equation for statement 1, the equation resolves to x = z. The number of people who purchased 1 book (x) is equal to the number of people who purchased 3 books (z). Together, they are 80, so 40 purchased 3 books and 40 purchased 1 book.
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gmatnub
C

statement 1:

x = bought 1 book
y = bought 2 books
z = bought 3 books


1x + 2y + 3z = 2 (x + y + z)

x = z
Insuff

statment 2: Insuff, because some may purchase 4 or 5 books

together: x + y = 80, and x = y = 40

I don't know if a person that walked into the store but did not buy a book woud be considered as a "customer".

Can you help me understand how did you guess x=z from (1) ?
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alpha_plus_gamma
gmatnub
C

statement 1:

x = bought 1 book
y = bought 2 books
z = bought 3 books


1x + 2y + 3z = 2 (x + y + z)

x = z
Insuff

statment 2: Insuff, because some may purchase 4 or 5 books

together: x + y = 80, and x = y = 40

I don't know if a person that walked into the store but did not buy a book woud be considered as a "customer".

Can you help me understand how did you guess x=z from (1) ?

solve this equation: 1x + 2y + 3z = 2 (x + y + z)
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gmatnub
alpha_plus_gamma

Can you help me understand how did you guess x=z from (1) ?

solve this equation: 1x + 2y + 3z = 2 (x + y + z)

Oh! Ok.. Sorry, that was silly doubt!
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Stmt 1 and 2: if 20 people bought 40 books then remaining 80 people bought a total of 160 books. But these 80 people bought either 1 or 3 books (since number for 2 is already deducted).

Thus, if number of people who bought 1 book is n then
n*1 + (80-n)*3 = 160

Solving for n will give n = 40
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lucyqin
I don't get how the OA can be C.
Together with both statements, we don't know how many customers buy exactly one book or how many bought exactly three books. Shouldn't the answer be E? Can someone explain?

we don't know how many customers buy exactly one book or how many bought exactly three books

>>>yes we can find the information

Given - # of customers - 100
(1) None of the customers purchased more than 3 books.
->customers can purchase 1or 2 or 3 books
->INSUFF
(2) 20 of the customers purchased only 2 books each.
->This tells us how 40 books were sold.What about theremaining 160 books
->INSUFF


Combining 1 and 2

Let m - nos of customer who bought 1 book
we know 20 customers bought 2 book

Therfeore 100 -(m+20) bought 3 books

m*1 + 20*2 + [100 -(m+20) ]*3 = 200

Now you can solve for m.



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