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

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rt0370533 rt0370533 · Answer 1 · 2020-04-26T16:31:30+02:00

Answer:

5

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raphealnwobi raphealnwobi · Answer 2 · 2022-05-09T10:37:56+02:00

The amount of nights Kim can stay in the hotel with a budget of €275 for lodging is 5 nights.

An equation is an expression that shows the relationship between two or more variables and numbers.

Let x represent the cost at the hostel and y represent the cost at the private hotel, hence:

x + y = 12 (1)

Also:

12.65x + 31.25y ≤ 275 (2)

From equation 1 and 2:

y = 5 nights

The amount of nights Kim can stay in the hotel with a budget of €275 for lodging is 5 nights.

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