Math Problem Statement

If there is a 'welcome drink' on arrival costing £2.99 per head, what would be the total cost for 135 people using Menu C?

Solution

To calculate the total cost for 135 people using Menu C, let's break down the costs step-by-step:

  1. Cost for the Buffet:

    • Menu C costs £160 and caters to 40 guests.
    • For 135 guests, we need enough packages to cover all guests.
    • Number of packages required: 13540=4\lceil \frac{135}{40} \rceil = 4 packages (since 3.375 rounded up to the next whole number is 4).
    • Total buffet cost: 4×£160=£6404 \times £160 = £640.
  2. Cost for the Venue:

    • We need a venue that can accommodate at least 135 guests.
    • Venue 2 can accommodate 150 guests and costs £260.
    • Total venue cost: £260.
  3. Cost for the Welcome Drink:

    • The welcome drink costs £2.99 per head.
    • Total cost for the welcome drink: 135×£2.99=£403.65135 \times £2.99 = £403.65.
  4. Total Cost:

    • Sum of all costs: £640(buffet)+£260(venue)+£403.65(welcomedrink)=£1303.65£640 (buffet) + £260 (venue) + £403.65 (welcome drink) = £1303.65.

The total cost is approximately £1304.

Therefore, the correct answer is:

  • £1,304.

Would you like details or have any questions?

Here are five related questions to expand on this information:

  1. How would the total cost change if the number of guests increased to 150?
  2. What would be the total cost if we used Menu B for 135 guests instead?
  3. How much would the total cost be if the venue chosen was Venue 3 instead of Venue 2?
  4. What would be the cost per person for 135 guests using Menu C, including the welcome drink and venue?
  5. How does the cost efficiency compare between Menu A and Menu C for 135 guests?

Tip: Always ensure to round up to the next whole number when calculating the number of packages or units required to cover all guests or participants in an event.

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Math Problem Analysis

Mathematical Concepts

Division
Multiplication
Rounding
Addition

Formulas

Number of packages required = Ceiling(Guests / Guests Catered)
Total buffet cost = Number of packages required × Buffet Price
Total cost for welcome drink = Number of Guests × Drink Price
Total event cost = Buffet Cost + Venue Cost + Welcome Drink Cost

Theorems

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Suitable Grade Level

Grades 6-8