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# Three Generations of the Wen family are going to the movies, two from

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Math Expert
Joined: 02 Sep 2009
Posts: 58453
Three Generations of the Wen family are going to the movies, two from  [#permalink]

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28 Mar 2019, 05:52
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Difficulty:

15% (low)

Question Stats:

90% (01:33) correct 10% (03:21) wrong based on 30 sessions

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Three Generations of the Wen family are going to the movies, two from each generation. The two members of the youngest generation receive a 50% discount as children. The two members of the oldest generation receive a 25% discount as senior citizens. The two members of the middle generation receive no discount. Grandfather Wen, whose senior ticket costs \$6.00, is paying for everyone. How many dollars must he pay?

(A) 34
(B) 36
(C) 42
(D) 46
(E) 48

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Re: Three Generations of the Wen family are going to the movies, two from  [#permalink]

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28 Mar 2019, 06:02
As the older Generation Granpa receives 25% discount, So the initial price of the ticket is 8\$

Total grandpa has to pay: 2*6+2*8+2*4=36

IMO
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Re: Three Generations of the Wen family are going to the movies, two from  [#permalink]

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28 Mar 2019, 13:12
1
Bunuel wrote:
Three Generations of the Wen family are going to the movies, two from each generation. The two members of the youngest generation receive a 50% discount as children. The two members of the oldest generation receive a 25% discount as senior citizens. The two members of the middle generation receive no discount. Grandfather Wen, whose senior ticket costs \$6.00, is paying for everyone. How many dollars must he pay?

(A) 34
(B) 36
(C) 42
(D) 46
(E) 48

cost of ticket
x*.75=6
x= 8
so oldest ticket price = 6*2 =12
middle = 8*2= 16
youngest = 8*.50; 4*2 = 8
total sum ; 36
IMO B
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Re: Three Generations of the Wen family are going to the movies, two from  [#permalink]

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31 Mar 2019, 11:46
Bunuel wrote:
Three Generations of the Wen family are going to the movies, two from each generation. The two members of the youngest generation receive a 50% discount as children. The two members of the oldest generation receive a 25% discount as senior citizens. The two members of the middle generation receive no discount. Grandfather Wen, whose senior ticket costs \$6.00, is paying for everyone. How many dollars must he pay?

(A) 34
(B) 36
(C) 42
(D) 46
(E) 48

Since the senior ticket is 6 dollars:

0.75n = 6

n = 8

Therefore, a ticket with no discount costs 8 dollars.

So the 2 tickets for the youngest generation cost 2 x (1/2 x 8) = 8 dollars

The 2 tickets for the members of the oldest generation cost 2 x 6 =12 dollars.

The 2 tickets for the middle generation cost 2 x 8 = 16 dollars.

So the total is 8 + 12 + 16 = 36 dollars.

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Re: Three Generations of the Wen family are going to the movies, two from   [#permalink] 31 Mar 2019, 11:46
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