Math Problem Statement
Solution
To calculate the total cost for 135 people using Menu C, let's break down the costs step-by-step:
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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: packages (since 3.375 rounded up to the next whole number is 4).
- Total buffet cost: .
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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.
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Cost for the Welcome Drink:
- The welcome drink costs £2.99 per head.
- Total cost for the welcome drink: .
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Total Cost:
- Sum of all costs: .
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:
- How would the total cost change if the number of guests increased to 150?
- What would be the total cost if we used Menu B for 135 guests instead?
- How much would the total cost be if the venue chosen was Venue 3 instead of Venue 2?
- What would be the cost per person for 135 guests using Menu C, including the welcome drink and venue?
- 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
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