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09 Jul 2018, 00:38
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
78% (01:48) correct
22%
(02:09)
wrong
based on 364
sessions
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Not Attempted Yet
Joe’s pie shop serves only chocolate pies and coconut cream pies. On a given day, Joe sold 200 pies, with each customer buying either one coconut cream pie, one chocolate pie, or one of each. If 80 customers bought both a coconut cream and a chocolate pie, how many chocolate pies did Joe sell?
(1) 40 customers did not buy a chocolate pie.
(2) 120 customers bought a coconut cream pie.
(1) 40 customers did not buy a chocolate pie.
(2) 120 customers bought a coconut cream pie.
22 Oct 2018, 04:59
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Bunuel
I have been asked to comment on this question..
Although answer is straight D but I too earlier did not read too much and marked D but now when I have been asked to comment, my views are..
if I have to do this in a PS..
PIES
Chocolate or coconut only
Total pies -200
80 customer take both, so 80 of chocolate and 80 of coconut
So 40 pies are remaining..200-80-80=40
Now these 40 pies will be equal to customers taking them as each is taking ONLY one in remaining 40.
(1) 40 customers did not buy a chocolate pie.
So these 40 were all coconut pie..
Final-
coconut pie : 80+40=120 and chocolate pie : 80
Sufficient
(2) 120 customers bought a coconut cream pie
So 120 purchased coconut pies but we know that 80 chocolate pies were picked along with coconut pies by 80 customers..
Final-
coconut pie : 120 and chocolate pie : 80
Sufficient
D..
General Discussion
09 Jul 2018, 02:03
Kudos
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Bunuel
2 overlapping sets can always be broken into the same 4 categories (both, only A, only B, neither).
This is a Precise approach.
total number of pies= 200
(both chocolate and cocount) = 80
neither = 0 as all customers bought at least one pie
so (only chocolate) + (only cococunt) = total - (both) - (neither) = 200 - 80 - 0 = 120
question - how much is (only chocolate) + (both chocolate and coconut)?
Since we know that (only chocolate) + (only coconut) = 120, all we need to is the value of (only coconut).
(1) then these 40 must have bought a cococunt pie meaning that (only coconut) = 40. Exactly what we need!
Sufficient.
(2) gives us (only coconut) + (both). Since we know that (both) = 80, we can calculate (only coconut).
Sufficient.
(D) is our answer.
