Question

Kim is planning a trip to Spain. She will stay there for a total of thirteen nights. She has found two options for her lodging: a hostel, which charges €12.65 (12.65 euros) per night, and a private hotel, which charges €31.25 per night. Kim would like to spend as many nights as she can afford in the private hotel. If she has a budget of €275 for lodging, how many nights can she stay in the hotel?
a.
four
b.
five
c.
six
d.
seven

Answer 1

Let h be the number of hotel nights. Cost = 31.25h + 12.65(13 − h) = 18.60h + 164.45 ≤ 275.
So 18.60h ≤ 110.55 ⇒ h ≤ 5.94. The greatest whole number ≤ 5.94 is 5.

Answer: b. five.