Pricelist at the cinema: David goes on Friday and buys two large cool drinks and two boxes of popcorn.

\begin{tabular}{llllll}
\textbf{Ticket} & \textbf{2D Movie} & \textbf{3D Movie} & \textbf{Small} & \textbf{R15} & \textbf{250 ml} \\
\hline
\textbf{Normal} & \textbf{R50} & \textbf{R75} & \textbf{Medium} & \textbf{R20} & \textbf{340 ml} \\
\textbf{Budget} & \textbf{R25} & \textbf{R35} & \textbf{Large} & \textbf{R25} & \textbf{500 ml} \\
\textbf{Tuesday} & & & & \\
\end{tabular}

3.1 If the popcorn costs R15 each, calculate the total amount that David paid. Use the formula:
[tex]\[ \text{Costs} = \text{Cost of movie tickets} + \text{Cost of cooldrinks} + \text{Cost of popcorn} \][/tex]
(3)

3.2 Calculate the amount that David would save if he went on Tuesday and got the Tuesday combo deal. Use the formula:
[tex]\[ \text{Savings} = \text{Cost on Friday} - (\text{Cost of movies} + \text{Tuesday Refreshments}) \][/tex]
(3)

3.3 Which size cooldrink is the best value for money in your opinion?
(2)

3.4 Provide a reason why the budget deal is on a Tuesday.
(2)



Answer :

Sure, let's work through these problems step-by-step.

### 3.1 Calculate the total amount that David paid.

First, we need to add up the different components of the total cost on Friday.

1. Cost of the 2D movie ticket on Friday: R50
2. Cost of the large cooldrink (500ml): R25
3. Cost of one box of popcorn: R15

David buys:
- One 2D movie ticket
- Two large cooldrinks
- Two boxes of popcorn

We can calculate the total cost for each component:

- Cooldrinks: 2 R25 = R50
- Popcorn: 2
R15 = R30

Then, add the cost of each component to get the total amount paid on Friday:

- Total cost on Friday: R50 (movie ticket) + R50 (cooldrinks) + R30 (popcorn) = R130

So, the total amount that David paid on Friday is R130.

### 3.2 Calculate the amount that David would save if he went on Tuesday.

Next, let’s calculate the cost if David took advantage of the Tuesday combo deal.

1. Cost of the 2D movie ticket on Tuesday: R25

We already know the costs for the cooldrinks and popcorn remain the same:
- Cooldrinks: R50 (as before)
- Popcorn: R30 (as before)

Total cost on Tuesday:
- Total cost on Tuesday: R25 (movie ticket) + R50 (cooldrinks) + R30 (popcorn) = R105

Now, calculate the savings:
- Savings on Tuesday: R130 (Friday cost) - R105 (Tuesday cost) = R25

So, David would save R25 by going on Tuesday.

### 3.3 Determine which size cooldrink is the most value for money.

To figure out which cooldrink size offers the best value for money, we look at the cost per milliliter for each size.

- Small cooldrink (250ml): R15
- Medium cooldrink (340ml): R20
- Large cooldrink (500ml): R25

Calculate the cost per milliliter for each size:
- Small: R15 / 250ml = R0.06 per ml
- Medium: R20 / 340ml ≈ R0.059 per ml
- Large: R25 / 500ml = R0.05 per ml

The large cooldrink has the lowest cost per milliliter (R0.05 per ml), therefore the large cooldrink offers the best value for money.

### 3.4 Reason why the budget deal is on a Tuesday.

Budget deals are offered to encourage increased attendance on days that typically have lower traffic. In this case, Tuesday is traditionally a low-traffic day for cinemas. Implementing budget deals on this day helps to attract more customers.

So, the reason for the budget deal on Tuesday is: "Budget deals are placed on Tuesdays to increase attendance on typically low-traffic days."

I hope this detailed explanation helps you understand how to approach similar problems! If you have any more questions, feel free to ask.