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During the end-of-year sale at an appliance store, 76 customers bought

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During the end-of-year sale at an appliance store, 76 customers bought  [#permalink]

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New post 20 Apr 2018, 05:40
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Difficulty:

  5% (low)

Question Stats:

95% (01:10) correct 5% (01:28) wrong based on 50 sessions

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During the end-of-year sale at an appliance store, 76 customers bought a washer, a dryer, or both of these appliances. In checking the sales records, the store manager found that 47 washers and 40 dryers were sold to these 76 customers. How many of them bought both a washer and a dryer?

(A) 0
(B) 11
(C) 29
(D) 36
(E) 65

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Re: During the end-of-year sale at an appliance store, 76 customers bought  [#permalink]

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New post 20 Apr 2018, 05:50
Bunuel wrote:
During the end-of-year sale at an appliance store, 76 customers bought a washer, a dryer, or both of these appliances. In checking the sales records, the store manager found that 47 washers and 40 dryers were sold to these 76 customers. How many of them bought both a washer and a dryer?

(A) 0
(B) 11
(C) 29
(D) 36
(E) 65


\(47+40-x=76\)
Hence, \(x=11\)

Answer: B
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Re: During the end-of-year sale at an appliance store, 76 customers bought  [#permalink]

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New post 20 Apr 2018, 05:54
Bunuel wrote:
During the end-of-year sale at an appliance store, 76 customers bought a washer, a dryer, or both of these appliances. In checking the sales records, the store manager found that 47 washers and 40 dryers were sold to these 76 customers. How many of them bought both a washer and a dryer?

(A) 0
(B) 11
(C) 29
(D) 36
(E) 65


As there are explicit methods to solve overlapping sets problems, we'll just use them without thinking too much.
This is a Precise approach.

The relevant equation is all A + all B - both A and B = total. In our case, this is
customers who bought washers + customers who bought driers - customers who bought both = total number of washers/driers sold.
47 + 40 - x = 76
x = 87 - 76 = 11.

(B) is our answer.
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Re: During the end-of-year sale at an appliance store, 76 customers bought &nbs [#permalink] 20 Apr 2018, 05:54
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During the end-of-year sale at an appliance store, 76 customers bought

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