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

The answer to this question is option C. $560

Explanation:

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.

Hence the answer is C

C. $560

Explanation:

Given that

Hollow pines doors = 5

Solid oak door = 6

Let, price hollow pines doors be A

and price solid oak door be B

From the question, B is twice the price of A

Thus, B = 2A.

Cheryl gets a 25% discount on oak doors bought

Thus

Oak door price = 3/4 * 2A

Where A = 40

Thus

= 3/4 * 2 (40)

= 3/4 * 80

= $60

Therefore,

Total price

= (5 * 40) + (6 * 60)

= 200 + 360

= $560.