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Using proportions, it is found that 315 more guests will stay at the small hotel than at the bed and breakfast in a 10-week period.
A proportion is a fraction of a total amount.
At the small hotel, a mean of 7.75 guest stay per night. 10 weeks have 70 days, then the total amount is:
S = 7.75 x 70 = 542.5
At the bed and breakfast, the mean was of 3.25 guests per night, hence:
B = 3.25 x 70 = 227.5.
The difference is given by:
S - B = 542.5 - 227.5 = 315.
Hence, 315 more guests will stay at the small hotel than at the bed and breakfast in a 10-week period.
More can be learned about proportions at https://brainly.com/question/24372153