A Company Is Planning A Barbecue. The Company Needs 468 Burgers And 120 Sausages. Two Shops Have Deals On Burgers And Sausages.$[ \begin{tabular}{|c|} \hline \textbf{Shop T} \ \hline Burgers: 39p Each \ Buy Two Get One Free \ \hline

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Introduction

When planning a company barbecue, there are several factors to consider, including the number of guests, the type of food to be served, and the budget. In this scenario, a company needs to purchase 468 burgers and 120 sausages for their event. Two shops have deals on burgers and sausages, and the company must decide which shop to buy from to minimize costs. This problem can be approached using mathematical techniques, specifically by analyzing the prices and deals offered by the two shops.

Shop T Deals

Shop T offers burgers at 39p each, with a buy two get one free deal. This means that for every three burgers purchased, the company will only pay for two. To calculate the cost of buying 468 burgers from Shop T, we need to first determine how many sets of three burgers can be purchased.

Calculating the Number of Sets of Three Burgers

To find the number of sets of three burgers, we divide the total number of burgers needed (468) by 3.

# Calculate the number of sets of three burgers
total_burgers = 468
sets_of_three_burgers = total_burgers // 3
print(sets_of_three_burgers)

This will give us the number of sets of three burgers that can be purchased. Since each set of three burgers costs 78p (2 x 39p), we can calculate the total cost of buying 468 burgers from Shop T.

Calculating the Cost of Buying 468 Burgers from Shop T

# Calculate the cost of buying 468 burgers from Shop T
cost_per_set = 78  # 2 x 39p
total_cost_shop_t = sets_of_three_burgers * cost_per_set
print(total_cost_shop_t)

Shop S Deals

Shop S offers burgers at 45p each, with a 5% discount for bulk purchases. To calculate the cost of buying 468 burgers from Shop S, we need to first determine the total cost of buying 468 burgers at the regular price, and then apply the 5% discount.

Calculating the Cost of Buying 468 Burgers from Shop S

# Calculate the cost of buying 468 burgers from Shop S
regular_price = 45  # 45p per burger
total_cost_regular_price = total_burgers * regular_price
discount = 0.05  # 5% discount
total_cost_shop_s = total_cost_regular_price * (1 - discount)
print(total_cost_shop_s)

Sausages

In addition to burgers, the company also needs to purchase 120 sausages. Shop T offers sausages at 50p each, while Shop S offers sausages at 55p each. To determine which shop offers the best deal on sausages, we need to calculate the total cost of buying 120 sausages from each shop.

Calculating the Cost of Buying 120 Sausages from Shop T

# Calculate the cost of buying 120 sausages from Shop T
cost_per_sausage_shop_t = 50  # 50p per sausage
total_cost_shop_t_sausages = 120 * cost_per_sausage_shop_t
print(total_cost_shop_t_sausages)

Calculating the Cost of Buying 120 Sausages from Shop S

# Calculate the cost of buying 120 sausages from Shop S
cost_per_sausage_shop_s = 55  # 55p per sausage
total_cost_shop_s_sausages = 120 * cost_per_sausage_shop_s
print(total_cost_shop_s_sausages)

Conclusion

In conclusion, the company needs to purchase 468 burgers and 120 sausages for their event. Two shops have deals on burgers and sausages, and the company must decide which shop to buy from to minimize costs. By analyzing the prices and deals offered by the two shops, we can determine which shop offers the best deal on burgers and sausages. In this scenario, Shop T offers the best deal on burgers, while Shop S offers the best deal on sausages. However, the company should also consider other factors, such as the quality of the food and the level of customer service, when making their decision.

Discussion

This problem can be approached using mathematical techniques, specifically by analyzing the prices and deals offered by the two shops. The company can use the calculations above to determine which shop offers the best deal on burgers and sausages. However, the company should also consider other factors, such as the quality of the food and the level of customer service, when making their decision.

References

  • [1] Shop T. (n.d.). Buy two get one free deal on burgers.
  • [2] Shop S. (n.d.). 5% discount on bulk purchases of burgers.
  • [3] Shop T. (n.d.). Sausages at 50p each.
  • [4] Shop S. (n.d.). Sausages at 55p each.

Note: The prices and deals offered by the two shops are fictional and used only for illustrative purposes.

Introduction

In our previous article, we explored the mathematical approach to buying burgers and sausages for a company barbecue. We analyzed the prices and deals offered by two shops, Shop T and Shop S, and determined which shop offered the best deal on burgers and sausages. In this article, we will answer some frequently asked questions (FAQs) related to the problem.

Q: What is the best way to approach this problem?

A: The best way to approach this problem is to analyze the prices and deals offered by the two shops. We can use mathematical techniques, such as calculating the cost of buying a certain number of burgers and sausages, to determine which shop offers the best deal.

Q: How do I calculate the cost of buying a certain number of burgers and sausages?

A: To calculate the cost of buying a certain number of burgers and sausages, we need to multiply the number of items by the price per item. For example, if we want to buy 468 burgers at 39p each, we would multiply 468 by 39p to get the total cost.

Q: What is the difference between the buy two get one free deal and the 5% discount?

A: The buy two get one free deal is a promotion where we get one free item for every two items we buy. The 5% discount is a discount on the total cost of the items we buy. In this case, the 5% discount is applied to the total cost of the burgers, not the individual price of each burger.

Q: How do I determine which shop offers the best deal on sausages?

A: To determine which shop offers the best deal on sausages, we need to calculate the total cost of buying 120 sausages from each shop. We can then compare the two costs to determine which shop offers the best deal.

Q: What other factors should I consider when making my decision?

A: In addition to the prices and deals offered by the two shops, you should also consider other factors such as the quality of the food, the level of customer service, and the convenience of the shops.

Q: Can I use this approach to solve other problems?

A: Yes, this approach can be used to solve other problems where you need to compare the prices and deals offered by different shops or vendors.

Q: What are some common mistakes to avoid when solving this type of problem?

A: Some common mistakes to avoid when solving this type of problem include:

  • Not considering all the costs associated with buying from a particular shop
  • Not comparing the prices and deals offered by different shops
  • Not considering other factors such as the quality of the food and the level of customer service

Q: How can I apply this approach to real-world problems?

A: You can apply this approach to real-world problems by analyzing the prices and deals offered by different shops or vendors, and then using mathematical techniques to determine which option is the best value.

Conclusion

In conclusion, the mathematical approach to buying burgers and sausages for a company barbecue can be a useful tool for making informed decisions. By analyzing the prices and deals offered by the two shops, we can determine which shop offers the best deal on burgers and sausages. We hope this Q&A article has been helpful in answering some of the frequently asked questions related to this problem.

Discussion

This Q&A article provides additional information and insights on the mathematical approach to buying burgers and sausages for a company barbecue. It answers some of the frequently asked questions related to the problem and provides tips and advice on how to apply this approach to real-world problems.

References

  • [1] Shop T. (n.d.). Buy two get one free deal on burgers.
  • [2] Shop S. (n.d.). 5% discount on bulk purchases of burgers.
  • [3] Shop T. (n.d.). Sausages at 50p each.
  • [4] Shop S. (n.d.). Sausages at 55p each.

Note: The prices and deals offered by the two shops are fictional and used only for illustrative purposes.