Question

1.2 James needs the following cost calculations for his Column: 1.2 .1 The difference between the summer and winter rates for adults in the Valley of the Waves. Write the difference as a percentage. 1.2 .3 The return rental car cost (in rand) if the distance between "Lost City" to Pilanesberg Nature Reserve is 15 km. The income (in rand) if the Lost City's bedrooms are all sold out. 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 Cox Davison. in South Africa
Mar 11,2025

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Answer

To find the difference between summer and winter adult rates as a percentage, provide the summer and winter rates. For the return rental car cost, provide the cost per kilometer and the number of bedrooms. For the income if all bedrooms are sold out, provide the number of bedrooms and the price per bedroom. The ratio of summer to winter bedroom reservations is 2:1.

Solution

Let's break down each part of the problem step by step. ### 1.2.1 Difference Between Summer and Winter Rates for Adults To find the difference between the summer and winter rates for adults in the Valley of the Waves as a percentage, we need the summer rate (\( S \)) and the winter rate (\( W \)). The formula for the percentage difference is: \[ \text{Percentage Difference} = \left( \frac{S - W}{W} \right) \times 100 \] Please provide the values for \( S \) and \( W \) to proceed with the calculation. ### 1.2.3 Return Rental Car Cost To calculate the return rental car cost for a distance of 15 km, we need the cost per kilometer (\( C \)). The total cost for the return trip (which is double the distance) can be calculated as: \[ \text{Total Cost} = 2 \times \text{Distance} \times C = 2 \times 15 \times C = 30C \] Please provide the value for \( C \) to proceed with the calculation. Next, for the income if all bedrooms in Lost City are sold out, we need the number of bedrooms (\( B \)) and the price per bedroom (\( P \)). The total income can be calculated as: \[ \text{Total Income} = B \times P \] Please provide the values for \( B \) and \( P \) to proceed with the calculation. ### 1.2.5 Ratio of Summer to Winter Bedroom Reservations During the summer, all bedrooms are fully booked, which we can denote as \( 1 \) (or \( 100\% \)). In winter, the bookings decrease by \( 50\% \), so the winter bookings can be represented as \( 0.5 \) (or \( 50\% \)). The ratio of summer to winter bookings is: \[ \text{Ratio} = \frac{\text{Summer Bookings}}{\text{Winter Bookings}} = \frac{1}{0.5} = 2:1 \] This ratio is already in its simplest form. ### Summary - For 1.2.1, please provide summer and winter rates. - For 1.2.3, please provide the cost per kilometer, number of bedrooms, and price per bedroom. - For 1.2.5, the ratio of summer to winter bookings is \( 2:1 \). Let me know the missing values to complete the calculations!

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Bonus Knowledge

During the summer, all bedrooms in the Valley of the Waves are booked to their maximum capacity, while in winter, bookings drop to about 50%. This creates a delightful contrast in business operations. If we assume there are 100 bedrooms, you'd find summer reservations are 100 while winter reservations are 50, making the relationship or ratio of summer winter bookings an impressive 2:1. As for the rental car costs, if the return distance between "Lost City" and Pilanesberg Nature Reserve is 15 km, imagine you're cruising to the scenic views for a mere cost of about 300 to 500 rand, factoring in typical rental charges, fuel costs, and a dash of thrill for your adventurous journey! Now, if all Lost City bedrooms are sold out during peak season, calculate the total income based on room rates - just picture the revenue skyrocketing if, let's say, each room rents for 1,500 rand!

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