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Cheryl purchased 5 identical hollow pine doors and 6 identical solid o

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Cheryl purchased 5 identical hollow pine doors and 6 identical solid o  [#permalink]

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New post 17 Jun 2017, 11:25
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88% (01:49) correct 12% (02:07) wrong based on 955 sessions

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Cheryl purchased 5 identical hollow pine doors and 6 identical solid oak doors for the house she is building. The regular price of each solid oak door was twice the regular price of each hollow pine door. However, Cheryl was given a discount of 25% off the regular price of each solid oak door. If the regular price of each hollow pine door was $40, what was the total price of all 11 doors?

A. $320
B. $540
C. $560
D. $620
E. $680

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Cheryl purchased 5 identical hollow pine doors and 6 identical solid o  [#permalink]

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New post 17 Jun 2017, 11:35
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Cheryl purchased 5 identical hollow pine doors, and 6 identical hollow oak doors.

Let the cost of pine door be x.
Since the price of the oak door is twice the price of the pine door, the cost is 2x.
Since she gets a discount of 25% on the oak door,
she would have to pay 75% of the cost, which is \(\frac{3}{4}*2x = 1.5x\)

Since the cost of pine door is 40$, the cost of the oak door is 60$

Therefore, the total cost of the 11 doors is \(5*40 + 6*60 = 200 + 360 = $560\)(Option C)
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Cheryl purchased 5 identical hollow pine doors and 6 identical solid o  [#permalink]

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New post 17 Jun 2017, 11:40
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AbdurRakib wrote:
Cheryl purchased 5 identical hollow pine doors and 6 identical solid oak doors for the house she is building. The regular price of each solid oak door was twice the regular price of each hollow pine door. However, Cheryl was given a discount of 25% off the regular price of each solid oak door. If the regular price of each hollow pine door was $40, what was the total price of all 11 doors?

A. $320
B. $540
C. $560
D. $620
E. $680


Given price of pine door \(= $40\)

Number of pine doors \(= 5\)

Total price of pine doors purchased \(= 5 * 40 = $200\)

Price of oak door = twice the price of pine door \(= 2 * 40 = $80\)

Cheryl was given 25% discount on oak doors = 75% of 80 \(= \frac{75}{100} * 80 = $60\)

Number of oak doors \(= 6\)

Total price of oak doors purchased \(= 60* 6 = 360\)

Total price of all 11 doors \(= 200 + 360 = $560\). Answer (C) ...
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Re: Cheryl purchased 5 identical hollow pine doors and 6 identical solid o  [#permalink]

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New post 07 Aug 2017, 10:30
AbdurRakib wrote:
Cheryl purchased 5 identical hollow pine doors and 6 identical solid oak doors for the house she is building. The regular price of each solid oak door was twice the regular price of each hollow pine door. However, Cheryl was given a discount of 25% off the regular price of each solid oak door. If the regular price of each hollow pine door was $40, what was the total price of all 11 doors?

A. $320
B. $540
C. $560
D. $620
E. $680


Pine Doors = $ x = $40
Oak Doors = $ 2x = $80
25% discount given on regular price of oak doors.
=> Oak Doors = $ 1.75x = $60

Total Price = 5*40 + 60*6 = 560

C is the answer.
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Cheryl purchased 5 identical hollow pine doors and 6 identical solid o  [#permalink]

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New post 15 Nov 2017, 16:45
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AbdurRakib wrote:
Cheryl purchased 5 identical hollow pine doors and 6 identical solid oak doors for the house she is building. The regular price of each solid oak door was twice the regular price of each hollow pine door. However, Cheryl was given a discount of 25% off the regular price of each solid oak door. If the regular price of each hollow pine door was $40, what was the total price of all 11 doors?

A. $320
B. $540
C. $560
D. $620
E. $680


Since the regular price of each hollow pine door = 40 dollars, the regular price of each solid oak door is (2)(40) = 80 dollars.

With a 25% discount, each solid oak door is sold for 0.75(80) = 60 dollars.

So, the six oak doors cost 6 x 60 = 360 dollars, and the five pine doors cost 5 x 40 = 200 dollars. Thus, the total is 560 dollars.

Answer: C
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Re: Cheryl purchased 5 identical hollow pine doors and 6 identical solid o  [#permalink]

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New post 16 Mar 2018, 20:49
pushpitkc niks18 Hatakekakashi
amanvermagmat Bunuel chetan2u

Quote:
Cheryl purchased 5 identical hollow pine doors and 6 identical solid oak doors for the house she is building. The regular price of each solid oak door was twice the regular price of each hollow pine door. However, Cheryl was given a discount of 25% off the regular price of each solid oak door. If the regular price of each hollow pine door was $40, what was the total price of all 11 doors?


Any significance of highlighted text?
We are already given that she bought total 11 doors in first sentence.
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Re: Cheryl purchased 5 identical hollow pine doors and 6 identical solid o  [#permalink]

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New post 16 Mar 2018, 21:16
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adkikani wrote:
pushpitkc niks18 Hatakekakashi
amanvermagmat Bunuel chetan2u

Quote:
Cheryl purchased 5 identical hollow pine doors and 6 identical solid oak doors for the house she is building. The regular price of each solid oak door was twice the regular price of each hollow pine door. However, Cheryl was given a discount of 25% off the regular price of each solid oak door. If the regular price of each hollow pine door was $40, what was the total price of all 11 doors?


Any significance of highlighted text?
We are already given that she bought total 11 doors in first sentence.


There's no significance as you've correctly identified that 11 doors were sold acc to the first sentence

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Re: Cheryl purchased 5 identical hollow pine doors and 6 identical solid o  [#permalink]

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Re: Cheryl purchased 5 identical hollow pine doors and 6 identical solid o   [#permalink] 31 Mar 2019, 00:16
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