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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