Question

1.2.5 During the summer, all bedrooms are regularly fully booked. During the winter time, it decreases by around \( 50 \% \). Write down the relationship between the summer and winter bedroom reservation as a ratio in its simplest form.

Ask by Wyatt Ward. in South Africa
Mar 12,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

The ratio of summer to winter bedroom reservations is 2:1.

Solution

Let the number of summer reservations be \( S \). According to the problem, during winter there is a decrease of around \(50\%\), so the number of winter reservations is \[ W = S - \frac{50}{100} \cdot S = S - 0.5S = 0.5S. \] This establishes the relationship between summer and winter reservations as \[ S : W = S : 0.5S. \] Dividing both parts of the ratio by \( S \) gives \[ 1 : 0.5. \] To express this in its simplest form with whole numbers, multiply both parts by \( 2 \): \[ 1 \times 2 : 0.5 \times 2 = 2 : 1. \] Thus, the ratio of summer to winter bedroom reservations in its simplest form is \[ 2 : 1. \]

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Mind Expander

The relationship between the summer and winter bedroom reservations can be expressed as a ratio. If we assume there are 100 bookings in the summer, then in the winter, there would be approximately 50 bookings. Thus, the ratio of summer to winter bookings is 100:50, which simplifies to 2:1. This means that for every two reservations made in the summer, there's one made in the winter, highlighting the significant seasonal variation in demand for bedrooms! This pattern is common in the hospitality industry, reflecting changes in travel trends and preferences throughout the year.

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