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OG Cheryl purchaded 5 identical hollow pine doors

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OG Cheryl purchaded 5 identical hollow pine doors

by AbeNeedsAnswers » Wed Aug 16, 2017 6:28 pm

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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

C
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by [email protected] » Thu Aug 17, 2017 10:56 am
Hi AbeNeedsAnswers,

We're told that Cheryl purchased 5 identical hollow pine doors and 6 identical solid oak doors. The REGULAR price of each solid oak door was TWICE the REGULAR price of each hollow pine door, but Cheryl was given a discount of 25% off the regular price of each solid oak door. The regular price of each hollow pine door was $40. We're asked for the total price of all 11 doors.

As wordy as this prompt is, solving it really comes down to just organizing the given information and doing a bit of arithmetic...

To answer this question, we need to determine the price of the two types of doors:
Regular price of hollow pine door = $40
Regular price of solid oak door = (2)($40) = $80
Discount price of solid oak door = $80 - (.25)($80) = $60

Now that we have the prices, we can figure out the total:
5($40) + 6($60) = $200 + $360 = $560

Final Answer: C

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by Matt@VeritasPrep » Fri Aug 18, 2017 1:50 pm
Say the price of each oak door = x and the price of each pine door = y.

We're given x = 2y, so Cheryl should've paid 5*y + 6*2y, or 17y. She got 25% each oak door, so she actually paid 5y + 4.5*2y, or 14y. y = $40, making the total order 14*$40, or $560.
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by Jeff@TargetTestPrep » Mon Aug 21, 2017 3:34 pm
AbeNeedsAnswers 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

C
We can let the price of each hollow pine door = d and of each solid oak door = 2d.

Since each pine door = 40, d = 40, and the regular price of each solid oak door is (2)(4) = 80.

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

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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