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Joe’s pie shop serves only chocolate pies and coconut cream pies. On a

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Joe’s pie shop serves only chocolate pies and coconut cream pies. On a  [#permalink]

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New post 09 Jul 2018, 00:38
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Question Stats:

71% (01:41) correct 29% (01:37) wrong based on 38 sessions

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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.

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Re: Joe’s pie shop serves only chocolate pies and coconut cream pies. On a  [#permalink]

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New post 09 Jul 2018, 02:03
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Bunuel wrote:
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.


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.
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Re: Joe’s pie shop serves only chocolate pies and coconut cream pies. On a  [#permalink]

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New post 09 Jul 2018, 06:41
Bunuel wrote:
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.


Please refer the affixed diagram.

St1:-Customers who didn’t buy chocolate pie=customers who bought only coconut pie=b=40
Customers who bought chocolate pie=a+c=200-40=160
So, Joe sold 160 nos. of chocolate pies.
Sufficient.
St2:- 120 customers bought coconut pie, b + c=120 or, b=120-80=40
So, a+c=200-b=200-40=160.
So, Joe sold 160 nos. of chocolate pies.
Sufficient.

Ans. (D)
Attachments

Cream pie.JPG
Cream pie.JPG [ 23.88 KiB | Viewed 315 times ]


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Re: Joe’s pie shop serves only chocolate pies and coconut cream pies. On a  [#permalink]

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New post 09 Jul 2018, 09:42
Bunuel wrote:
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.



Please provide OA and OE.
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Re: Joe’s pie shop serves only chocolate pies and coconut cream pies. On a  [#permalink]

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New post 09 Jul 2018, 11:41
chocolate only + 80 + coconut only = 200
chocolate pies Joe sold: chocolate only + 80

(1) 80 choco pies only
(2) 40 coconut only; 80 choco only

Obv D
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Re: Joe’s pie shop serves only chocolate pies and coconut cream pies. On a  [#permalink]

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New post 09 Jul 2018, 20:30
yogithaan wrote:
Bunuel wrote:
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.



Please provide OA and OE.


Hello

OA is D, its already there below the question under 'spoiler'.
For explanation, you could refer to the following solution:

https://gmatclub.com/forum/joe-s-pie-sh ... l#p2091047
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Re: Joe’s pie shop serves only chocolate pies and coconut cream pies. On a  [#permalink]

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New post 09 Jul 2018, 20:41
Bunuel wrote:
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.



Sometimes it is easier and better nit to get entangled in Venn diagrams etc and solve question logically. Saves time and effort.

Info given
1) total 200 and all buy atleast one of the two
2) 80 buy both so remaining 120 buy only one.

1) 40 did not buy a chocolate pie.
Straight ans remaining 200-40=160 buy chocolate pie
Sufficient

2) 120 buy coconut pie.
So the remaining 200-120=80 buy only chocolate pies.
But there are 80 who buy both..
So sum of the two 80+80=160 buy chocolate pies.
Sufficient
.D
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1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html


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Re: Joe’s pie shop serves only chocolate pies and coconut cream pies. On a &nbs [#permalink] 09 Jul 2018, 20:41
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